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# Bernoulli Center

For Fundamental Studies

## Sitemaps

- [XML Sitemap](https://bernoulli.epfl.ch/sitemap.xml): Contains all public & indexable URLs for this website.

## Posts

- [EPFL receives 5 medals at the International Maths Competition](https://bernoulli.epfl.ch/epfl-receives-5-medals-at-the-international-maths-competition/) - Following the Maths competition organised by the Bernoulli Center on Campus last May, five EPFL students traveled to Bulgaria this summer to compete in the International Maths Competition (IMC). The team did extremely well, ranking 20th out of 90 teams and bringing back 1 gold medal (Vladyslav Shashkov) and 4 silver medals (Mathis Duguin, Benjamin
- [Professor Martin Hairer on Artificial Intelligence and Mathematical Research](https://bernoulli.epfl.ch/professor-martin-hairer-on-artificial-intelligence-and-mathematical-research/) - We are pleased to share a recent interview with our Director, Prof. Martin Hairer, published in The New York Times on February 7, 2026. In this wide-ranging conversation, Prof. Hairer reflects on the evolving relationship between artificial intelligence and mathematical research, exploring what AI can — and cannot — do in tackling deep mathematical questions. Drawing on his own
- [Call for Research Programmes 2027](https://bernoulli.epfl.ch/call-for-research-programmes-2027/) - The Bernoulli Center for Fundamental Studies invites submissions of research programme proposals in all areas of mathematics, theoretical physics, and/or theoretical computer science. Applicants are invited to submit their proposals before 31 March 2026. Selected programmes will take place between January and December 2027. Programmes can range from two to nine weeks in duration and
- [2025 Assyr Abdulle Lecture - Prof. Alessio Figalli on “Optimal Transport: From A to B… and Beyond”](https://bernoulli.epfl.ch/2025-assyr-abdulle-lecture-prof-alessio-figalli-on-optimal-transport-from-a-to-b-and-beyond/) - The Bernoulli Center for Fundamental Studies had the pleasure of organising the 2025 Assyr Abdulle Lecture, a public event held in memory of Prof. Assyr Abdulle, former EPFL faculty member at the Mathematics Institute (2009–2021). Prof. Abdulle was a world-leading expert in numerical methods for stochastic differential equations and multiscale problems. Beyond his outstanding research contributions, he
- [Assyr Abdulle Lecture](https://bernoulli.epfl.ch/assyr-abdulle-lecture-3/) - 2025 Edition : Prof Alessio Figalli For the 2025 Assyr Abdule Lecture, we are delighted to welcome Prof Alessio Figalli from the ETH Zürich on Monday 10 November 2025 from 16:30 to 17:30 at the SwissTech Center. Click HERE to register. Title: Optimal Transport: From A to B… and Beyond Abstract: What is the most
- [EPFL students at the 2025 International Math Competition in Bulgaria](https://bernoulli.epfl.ch/epfl-students-at-the-2025-international-math-competition-in-bulgaria/) - 🎉 EPFL students shine at the 2025 International Mathematics Competition (IMC) 🎉 From 27 July to 3 August 2025, a team of EPFL students traveled to Blagoevgrad, Bulgaria to compete in the International Mathematics Competition for University Students (IMC). Their performance was once again outstanding:🏆 Grand First Prize – Konstantin Myasnikov🥇 First Prizes – Luca
- [Journée Georges de Rham 2025](https://bernoulli.epfl.ch/journee-georges-de-rham-2025/) - The Journée Georges de Rham 2025 will take place on Wednesday 14 May 2025 from 15:00 to 18:00 at Geneva University, Uni Dufour (room U300). The speakers will be Ronald Coifman (Yale University) and Terrence Sejnowski (Salk Institute & UC San Diego). For more information, click here: https://www.unige.ch/math/annonces/conferences/2025/journee-george-derham-2025
- [Assyr Abdulle Lecture](https://bernoulli.epfl.ch/assyr-abdulle-lecture-2/) - 2024 Edition: Wednesday 16 October 2024 For the 2024 Assyr Abdulle lecture, we will be happy to welcome Prof. Stanislav Smirnov from the University of Geneva.When : Wednesday 16 October 2024 | 16:00Where : ELA 1, EPFL CampusRegistration Form : https://docs.google.com/forms/d/e/1FAIpQLSfjPIf5zVhrx8tSqqzX0iuYaXKYltD918qdFtapBmYJagYLLg/viewformLink to follow the conference on zoom : https://epfl.zoom.us/j/64808808087 (meeting ID: 648 0880 8087) Stanislav SmirnovUniversity
- [Assyr Abdulle Lecture](https://bernoulli.epfl.ch/assyr-abdulle-lecture/) - Assyr Abdulle Lecture The Assyr Abdulle Lecture is a public lecture given periodically by a visitor of the Bernoulli Center for Fundamental Studies.Prof. Assyr Abdulle was a faculty member at the Mathematics Institute at EPFL from 2009 until 2021. He was a world-renowned expert in the field of numerical methods for stochastic differential equations and
- [EPFL students at the International Mathematics Competition](https://bernoulli.epfl.ch/epfl-students-at-the-international-mathematics-competition/) - Following the Maths competition organised by the Bernoulli Center in June, EPFL students traveled to Bulgaria early August to compete in the International Mathematics Competition for University Students 2024 (IMC). The students achieved excellent results with 4 gold medals (Mathys Douma, Vladyslav Shashkov, Luca Pana, Viacheslav Surkov) with 3 also receiving a special prize from Huawei,
- [Flyer Bernoulli Center](https://bernoulli.epfl.ch/flyer-bernoulli-center/) - Home About Flyer Bernoulli Center
- [Professor  Lai-Sang Young wins the Heinz Hopf prize](https://bernoulli.epfl.ch/professor-lai-sang-young-won-the-heinz-hopf-prize/) - Professor Lai-Sang Young, member of the Scientific Advisory Board, wins the Heinz Hopf Prize. The prize honours outstanding scientific work in the field of pure mathematics.
- [EPFL Open Days: 29-30 April 2023](https://bernoulli.epfl.ch/epfl-open-days-29-30-april-2023/) - For a weekend, enter a world of innovation, science and creativity. EPFL will once again open its doors to a large public of all ages. This is an opportunity for thousands of visitors to discover the secrets of our school through events, animations, meetings, workshops and many other surprises. Come on campus for a unique
- [Bernoulli Lecture - Internal waves and homeomorphism of the circle](https://bernoulli.epfl.ch/bernoulli-lecture-internal-waves-and-homeomorphism-of-the-circle/) - 25 March 2021 Part of the Semester : Dynamics, Transfer Operators, and Spectra 17:15 - 18:15 Lecturer Maciej Zworski, University of California, Berkeley The connection between the formation of internal waves in fluids and the dynamics of homeomorphisms of the circle was investigated by oceanographers in the 90s and resulted in novel experimental observations
- [Spring School on Transfer Operators (Classical and Modern Techniques)](https://bernoulli.epfl.ch/spring-school-on-transfer-operators-classical-and-modern-techniques/) - 22 - 26 March 2021 Part of the Semester : Dynamics, Transfer Operators, and Spectra 08:00 - 17:00 Room : GA 3 21 Organisers Wael Bahsoun, Loughborough University Viviane Baladi, CNRS and Sorbonne University This school will provide courses from experts on several aspects of the spectrum of transfer operators. Special attention will be
- [Inauguration of the Bernoulli Center for Fundamental Studies](https://bernoulli.epfl.ch/new-bernoulli-center/) - Rolex Learning Center On November 11, 2022, the scientific community will celebrate the inauguration of EPFL’s new Bernoulli Center for Fundamental Studies at the EPFL Rolex Learning Center. The event, which will bring illustrious mathematicians, physicists, and computer scientists to Lausanne will mark the kickoff of the center’s second incarnation, with an expanded scope, an
- [Maryna Viazovska is awarded a Fields Medal](https://bernoulli.epfl.ch/maryna-viazovska-is-awarded-a-fields-medal/) - Maryna Viazovska has received a Fields Medal, a prestigious honor often described as the Nobel Prize of Mathematics, for her work on the sphere-packing problem in 8 and 24 dimensions. Previously, the problem had been solved for only three dimensions or fewer. Another Fields Medal is awarded to University of Geneva mathematician Hugo Duminil-Copin. Read
- [Martin Hairer appointed Co-Director](https://bernoulli.epfl.ch/martin-hairer-codirector/) - Following the rebirth of the Bernoulli Center and its inauguration last November, we are happy to announce that Prof. Martin Hairer has joined the Bernoulli Center for Fundamental Studies as Co-Director, alongside Prof. Emmanuel Abbé, starting January 1, 2023. Martin Hairer is a Professor of Mathematics working in the field of stochastic analysis, in particular

## Pages

- [Home](https://bernoulli.epfl.ch/) - Ascending peaks of knowledge QFT in AdS: A novel window into strong coupling dynamics16 to 27 February 2026Click hereAlgebraic aspects of metric and integral geometry02 - 20 March 2026Click hereCall for Research Programmes 2027Click here Previous slide Next slide Call for Research Programmes 2027 Current Activities Public Lectures Youth at Bernoulli About the Center The
- [Planning your visit](https://bernoulli.epfl.ch/planning-your-visit/) - Planning your visit Home Planning your visit Planning your visit The Bernoulli Center staff is happy to assist you with administrative procedures and providing you with all the needed information to make your stay a comfortable one.Before you get hereThe Bernoulli Center is located on the 3rd floor of the GA building on EPFL campus.Click
- [Bernoulli Competition](https://bernoulli.epfl.ch/youth-at-bernoulli/bernoulli-competition/) - Bernoulli Competition Home Bernoulli Competition A maths competition in Switzerland 2026Mathematics Training Courses will take place every Monday evening during the semester at 18h15 at the Bernoulli Center. The course will be taught by Vladyslav Shashkov.This course focuses on problem-solving strategies in mathematics and is aimed at bachelors and masters students. While university courses typically
- [Journée Georges de Rham](https://bernoulli.epfl.ch/georges-de-rham/) - Journée Georges de Rham Home Journée Georges de Rham Journée Georges de Rham The Journée Georges de Rham has been introduced in 1991 by the Troisième Cycle Romand de mathématiques. Since then, it is organized each year during the Spring semester by the mathematics departments of EPFL and of the University of Geneva, and it features two speakers of international
- [Professor Martin Hairer on Artificial Intelligence and Mathematical Research](https://bernoulli.epfl.ch/professor-martin-hairer-on-artificial-intelligence-and-mathematical-research/) - We are pleased to share a recent interview with our Director, Prof. Martin Hairer, published in The New York Times on February 7, 2026. In this wide-ranging conversation, Prof. Hairer reflects on the evolving relationship between artificial intelligence and mathematical research, exploring what AI can — and cannot — do in tackling deep mathematical questions.
- [Assyr Abdulle Lecture](https://bernoulli.epfl.ch/assyr-abdulle-lecture/) - Assyr Abdulle Lecture​ Home Assyr Abdulle Lecture​ The Assyr Abdulle Lecture is a public lecture given periodically by a visitor of the Bernoulli Center for Fundamental Studies.Prof. Assyr Abdulle was a faculty member at the Mathematics Institute at EPFL from 2009 until 2021. He was a world-renowned expert in the field of numerical methods for
- [Programme](https://bernoulli.epfl.ch/bernoulli-programs/) - Programme Home Programme Call for research programmes 2027 Current Activities Click here Past Activities Click here Public Lectures Click here Youth at Bernoulli Click here Call for Research Programmes 2027 The Bernoulli Center for fundamental studies calls for research programme proposals in all areas of mathematics, theoretical physics, and/or theoretical computer science. The deadline for
- [About](https://bernoulli.epfl.ch/about/) - About Home About Mission Governance Our MissionThe Bernoulli Center for Fundamental Studies’ mission is to advance fundamental research in a collaborative environment building on three pillars: 1. Long-term scientific programmes for which global experts are invited to visit the center and work on selected topics for extended time periods. 2. Short-term scientific programmes that promote
- [Media](https://bernoulli.epfl.ch/media-gallery/) - Gallery Home Gallery Videos Gallery Videos AI: reasoning and mathematics YouTube video More details Inauguration of the Bernoulli Center YouTube video More details Foliations in Algebraic and Birational Geometry YouTube video More details Professor Serre series of Lectures YouTube video More details Gallery All Bernoulli Day 2025 Workshops 2025 Workshops 2024 Bernoulli Competition 2024 AI
- [Contact](https://bernoulli.epfl.ch/contact/) - Contact Home Contact Contact Christiane Maillard, Eliane Rasch & Bernadette Brun EPFL AVP-CP CIB GA 3 34 (Bâtiment GA), Station 5 CH-1015 Lausanne +41 21 693 64 30 bernoulli@epfl.ch Video Visit our YouTube Channel
- [Youth at Bernoulli](https://bernoulli.epfl.ch/youth-at-bernoulli/) - Youth at Bernoulli Home Youth at Bernoulli Youth at Bernoulli The Bernoulli Center for Fundamental Studies is launching a new program in collaboration with the Associate Vice-Presidency for Student Affairs and Outreach, the School of Basic Sciences and School of Computer and Communication Sciences, to promote fundamental sciences at an early stage with emphasis on
- [Current Activities](https://bernoulli.epfl.ch/internal-programs/) - Current Activities Home Current Activities External Programmes QFT in AdS: A novel window into strong coupling dynamics Start: 16/02/2026 End: 27/02/2026 Organisers: Antonio Antunes (Ecole Normale Supérieure) Christian Copetti (Oxford University) Shota Komatsu (CERN) Balt van Rees (Ecole Polytechnique) This workshop is part of the Bernoulli programme at EPFL, to be held from… More details
- [High-school classes](https://bernoulli.epfl.ch/youth-at-bernoulli/high-school-classes/) - High-school classes Home High-school classes High-school classes The Bernoulli Center for Fundamental Studies is hosting classes for Swiss high-school students in collaboration with the Associate Vice-Presidency for Student Affairs and Outreach, the School of Basic Sciences and School of Computer and Communication Sciences. This concerns the “Euler Course“, a new “Turing Course” between the Bernoulli
- [Public Lectures](https://bernoulli.epfl.ch/public-lectures/) - Public Lectures Home Public Lectures Assyr Abdulle Lecture Click here Journée de Rham Click here
- [Past programs](https://bernoulli.epfl.ch/past-programs/) - Past Activities Home Past Activities Past workshops at the Bernoulli Center Structural Origami Gathering 2026 Start: 02/02/2026 End: 06/02/2026 Organisers: Rupert Maleczek, University of Innsbruck Klara Mundilova, EPFL Mark Pauly, EPFL Tomohiro Tachi, University of Tokyo This workshop is part of the Bernoulli Center programme at EPFL, to be held… More details Website Effective Field
- [News](https://bernoulli.epfl.ch/news/) - News Home News Professor Martin Hairer on Artificial Intelligence and Mathematical Research February 10, 2026 We are pleased to share a recent interview with our Director, Prof. Martin Hairer, published in The New York Times on February 7, 2026. In this wide-ranging conversation, Read More » Call for Research Programmes 2027 January 20, 2026 The Bernoulli Center for
- [External programs](https://bernoulli.epfl.ch/external-programs/) - External programs Home External programs External programs 2024 QFT in AdS: A novel window into strong coupling dynamics September 1, 2025 No Comments This workshop is part of the Bernoulli programme at EPFL, to be held from 16 to 27 February 2026. Anti-de Sitter (AdS) space provides a unique arena for quantum field theory and
- [Past programs new version](https://bernoulli.epfl.ch/past-programs-new-version/) - Past programs new version Home Past programs new version Past programs at CIB ooo
- [Bernoulli Lecture - Towards a mathematical model of the brain](https://bernoulli.epfl.ch/bernoulli-lecture-towards-a-mathematical-model-of-the-brain/) - 28 January 2021 Part of the Semester : Dynamics, Transfer Operators, and Spectra 17:00 - 18:00 Room : GA 3 21 Lecturer Lai-Sang Young, NYU Video : https://tube.switch.ch/videos/a54ff4de (Part 1) https://tube.switch.ch/videos/7d003f4c (Part 2) Striving to make contact with mathematics and to be consistent with neuroanatomy at the same time, I propose an idealized picture
- [Linear Response: Rigorous Results and Applications](https://bernoulli.epfl.ch/linear-response-rigorous-results-and-applications/) - 25 - 29 January 2021 Part of the Semester : Dynamics, Transfer Operators, and Spectra 08:00 - 17:00 Room : GA 3 21 Organisers Wael Bahsoun, Loughborough University Viviane Baladi, CNRS and Sorbonne University Stefano Galatolo, Università di Pisa Nina Gantert, Technical University of Munich Georg Gottwald, The University of Sydney Download Book of Abstract
- [Gallery](https://bernoulli.epfl.ch/gallery/) - Gallery Home Gallery All Inauguration The Center Foliations in Algebraic and Birational Geometry Foliations in Algebraic and Birational Geometry
- [Calendar](https://bernoulli.epfl.ch/calendar/) - Calendar Home Calendar Coming Soon!

## My Templates

- [Executive Committee](https://bernoulli.epfl.ch/?elementor_library=executive-committee) - Martin Hairer Director Philippe Michel DEPUTY DIRECTOR Maryna Viazovska Victor Gorbenko Thomas Vidick Friedrich Eisenbrand
- [Staff](https://bernoulli.epfl.ch/?elementor_library=staff) - Christiane MaillardAdministrative specialistEPFL AVP-CP CIBGA 3 34 (Bâtiment GA)Station 5CH-1015 Lausanne+41 21 693 12 64christiane.maillard@epfl.ch Eliane RaschAdministrative specialistEPFL AVP-CP CIBGA 3 34 (Bâtiment GA)Station 5CH-1015 Lausanne+41 21 693 64 30eliane.rasch@epfl.ch Bernadette BrunAdministrative specialistEPFL AVP-CP CIBGA 3 34 (Bâtiment GA)Station 5CH-1015 Lausanne+41 21 693 90 51bernadette.brun@epfl.ch Marc PerraudinHead of ITEPFL SB MATHMA A2 417 (Bâtiment MA)Station
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- [Founders](https://bernoulli.epfl.ch/?elementor_library=founders) - Founders: Gérard Ben ArousTudor Ratiu Directors: Tudor Ratiu (Founding director, Centre Interdisciplinaire Bernoulli), 2002 – 2014Nicolas Monod, 2014 – 2021Emmanuel Abbé (Founding director, Bernoulli Center for Fundamental Studies), 2021 – 2022Emmanuel Abbé & Martin Hairer, 2023Martin Hairer, 2024 –
- [The Events Calendar - Dynamic template](https://bernoulli.epfl.ch/?elementor_library=the-events-calendar-dynamic-template) - We are pleased to share a recent interview with our Director, Prof. Martin Hairer, published in The New York Times on February 7, 2026. In this wide-ranging conversation, Prof. Hairer reflects on the evolving relationship between artificial intelligence and mathematical research, exploring what AI can — and cannot — do in tackling deep mathematical questions. Drawing on his own
- [The Events Calendar - Starter](https://bernoulli.epfl.ch/?elementor_library=the-events-calendar-starter)
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- [Programs archive loop](https://bernoulli.epfl.ch/?elementor_library=programs-archive-loop) - Programs archive loop Start: End: Organisers: More details… More details
- [Single Program](https://bernoulli.epfl.ch/?elementor_library=single-program) - Home Single Program Single Program We are pleased to share a recent interview with our Director, Prof. Martin Hairer, published in The New York Times on February 7, 2026. In this wide-ranging conversation, Prof. Hairer reflects on the evolving relationship between artificial intelligence and mathematical research, exploring what AI can — and cannot — do in tackling deep mathematical
- [Search archive](https://bernoulli.epfl.ch/?elementor_library=search-archive) - Search results Professor Martin Hairer on Artificial Intelligence and Mathematical Research February 10, 2026 We are pleased to share a recent interview with our Director, Prof. Martin Hairer, published in The Read More » Call for Research Programmes 2027 January 20, 2026 The Bernoulli Center for Fundamental Studies invites submissions of research programme proposals in all areas
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- [Single Page](https://bernoulli.epfl.ch/?elementor_library=single-page) - Home Single Page Single Page We are pleased to share a recent interview with our Director, Prof. Martin Hairer, published in The New York Times on February 7, 2026. In this wide-ranging conversation, Prof. Hairer reflects on the evolving relationship between artificial intelligence and mathematical research, exploring what AI can — and cannot — do in tackling deep mathematical
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- [Internal programs archive](https://bernoulli.epfl.ch/?elementor_library=internal-programs-archive) - Internal programs archive Home Internal programs archive Professor Martin Hairer on Artificial Intelligence and Mathematical Research We are pleased to share a recent interview with our Director, Prof. Martin Hairer, published… More details Call for Research Programmes 2027 The Bernoulli Center for Fundamental Studies invites submissions of research programme proposals in all… More details 2025 Assyr
- [About and Mission Home](https://bernoulli.epfl.ch/?elementor_library=about-and-mission-home) - About The Bernoulli Center for Fundamental Studies’ mission is to promote fundamental research in a collaborative environment. 1. Long-term scientific programs for which global experts are invited to visit the center and work on selected topics for extended time periods. 2. Short-term scientific programs that promote the collaboration of researchers at EPFL and nearby institutions
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## Programs

- [Entanglement Scaling and Criticality with Tensor Networks](https://bernoulli.epfl.ch/programs/entanglement-scaling-and-criticality-with-tensor-networks/) - The description of critical phenomena in terms of the renormalization group forms the cornerstone of our modern understanding of strongly-correlated systems. It leads to effective Hamiltonians that can be studied using numerical methods such as Monte Carlo, and the success of those methods relies heavily on scaling ideas for the interpretation of the data. Based
- [WinCompTop: Women in Computational Topology 3](https://bernoulli.epfl.ch/programs/wincomptop-women-in-computational-topology-3/) - BERNOULLI CENTER Lausanne (Switzerland) JULY 17-21, 2023 Scientific Overview The Bernoulli Center at EPFL (Switzerland) will host the third workshop for Women in Computational Topology. These workshops are designed to strengthen the computational topology community by bringing together women as well as gender-diverse researchers at various stages in their careers (from graduate students to senior researchers) and from
- [Discrete Random Structures](https://bernoulli.epfl.ch/programs/discrete-random-structures/) - This workshop brings together experts in combinatorics, probability theory, statistics, information theory, and computational topology sharing a common interest: graphs. Key forms of discrete-valued data, graphs extend to flexible and complex generalisations, such as hypergraphs and simplicial complexes. Their study requires a multidisciplinary arsenal of tools from the aforementioned disciplines. This rich area of research
- [Young Researchers in Mathematics Program](https://bernoulli.epfl.ch/programs/young-researchers-in-mathematics-program/) - The Bernoulli Center for Fundamental Studies is a world-renowned research institute located in Lausanne, Switzerland, facilitating research, outreach, and education in mathematics and the mathematical sciences. The Young Researchers in Mathematics Program is a new and exciting summer research program hosted by the Bernoulli Center, offering a unique opportunity for students in mathematics to gain
- [Structure preserving numerical methods for partial differential equations](https://bernoulli.epfl.ch/programs/structure-preserving-numerical-methods-for-partial-differential-equations/) - The workshop will bring together leading experts and junior researchers on structure-preserving numerical methods for partial differential equations. Topics of discussion will include: discrete de Rham complexes over manifolds rigorous a priori and a posteriori error analysis conservation laws in time applications in electromagnetism, elasticity, and relativity Keynote speakers: Douglas Arnold (University of Minnesota) Annalisa
- [Categorified Enumerative Geometry and Representation Theory](https://bernoulli.epfl.ch/programs/categorical-enumerative-geometry-and-representation-theory/) - This one-week workshop aims to foster exchange of ideas between mathematicians working on the various aspects of enumerative geometry and related representation theory, as well as to bring together both world experts and aspiring young researchers working in the area(s). Speakers Noah Arbesfeld (Imperial College London) Dori Bejleri (Harvard University) Ben Davison (University of Edinburgh)
- [Summer School on Stochastic Analysis](https://bernoulli.epfl.ch/programs/summer-school-on-stochastic-analysis/) - The aim is to bring young Stochastic Analysts together in a stimulating environment. There will be also some talks in addition to mini-courses. Each talk is aimed at explaining either one concept / technique or outlining future directions. We shall leave plenty of time for discussions, the participants can also arranged spontaneous talks. Venue: The
- [Celebrating the mathematics of Michel Benaïm](https://bernoulli.epfl.ch/programs/workshop-to-celebrate-the-mathematics-of-michel-benaim/) - The workshop aims to give an overview of Michel Benaïm’s research, to formulate and exchange on problems inspired by his work, and to foster collaborations in the areas of mathematics dear to him. It is organized on the occasion of his 60th birthday. Michel has had a profound impact in several areas of mathematics, in
- [Hodge and K-Theory meet Combinatorics](https://bernoulli.epfl.ch/programs/hodge-and-k-theory-meet-combinatorics/) - This workshop brings together early career mathematicians and experts in algebraic geometry and combinatorics, working on the intersection of combinatorial Hodge and K-Theory. This is a highly active area of research with important connections to geometry, number theory, and discrete mathematics, and has recently received major attention with Huh's Fields Medal for his contributions to combinatorial Hodge
- [Learning and Information Theory (LITH)](https://bernoulli.epfl.ch/programs/learning-and-information-theory-lith/) - This workshop is part of the Bernoulli Center programme at EPFL and will take place from 23 to 24 February 2026. Please note it will not be held at the Bernoulli Center, but instead at the IC Faculty. In recent years, information-theoretic and statistical tools have led to new breakthroughs in various areas of machine
- [Peering through behavior into the brain](https://bernoulli.epfl.ch/programs/peering-through-behavior-into-the-brain/) - This workshop is part of the Bernoulli Center programme at EPFL, to be held from 08 to 12 June 2026.
- [Geometry and Spectra of Compact Riemann Surfaces](https://bernoulli.epfl.ch/programs/the-geometry-and-spectra-of-hyperbolic-surfaces-and-other-manifolds/) - This workshop is part of the Bernoulli Center programme at EPFL, to be held from 15 to 17 April 2026. A conference in geometric and spectral geometry, in honor of Peter Buser. The pioneering work of Peter Buser has played an important role in the understanding of hyperbolic surfaces, their spectra and their moduli spaces.
- [Celebrating Probability and Stochastics](https://bernoulli.epfl.ch/programs/celebrating-probability-and-stochastics/) - This three-day workshop in probability theory and stochastics celebrates the mathematics, contributions and service of EPFL Professors Robert Dalang and Thomas Mountford on their retirements. All are warmly invited to join this festive event in honour of their achievements.
- [Structural Origami Gathering 2026](https://bernoulli.epfl.ch/programs/structural-origami-gathering-2026/) - This workshop is part of the Bernoulli Center programme at EPFL, to be held from 02 to 06 February 2026. In recent years, origami-inspired structures have found a wide range of applications, from deployable solar arrays for space exploration to architectural structures and medical devices, each benefiting from the functional advantages of folding. At the
- [Detection and Emergence of Complexity: ALIFE Perspectives](https://bernoulli.epfl.ch/programs/detection-and-emergence-of-complexity-alife-perspectives-2/) - This workshop is part of the Bernoulli Center programme at EPFL, to be held from 27 to 29 May 2026. An abundance of systems has been studied as potential models of artificial life: from classical discrete cellular automata to their randomized versions such as random Boolean networks, continuous systems including neural CAs or Lenia systems,
- [LémanTh3 - Lausanne event on Machine : Learning & Neural Network Theory](https://bernoulli.epfl.ch/programs/lemanth-workshop-on-theoretical-aspects-of-machine-learning/) - This one-week workshop aims to bring together leading researchers working at the interface of machine learning, probability, high-dimensional statistics, statistical physics and theoretical computer science, with a particular emphasis on the mathematical and theoretical foundations of modern neural networks. It is part of the Bernoulli Center programme at EPFL, to be held from 20 to
- [Elliptic objects, von Neumann algebras, and Functorial Field Theory](https://bernoulli.epfl.ch/programs/elliptic-objects-von-neumann-algebras-and-functorial-field-theory/) - This two-week programme will be held from 06 to 17 July 2026. The first week features a series of lecture courses primarily aimed at early-career researchers. The second week is a research conference. A central theme of the meeting is Functorial Quantum Field Theories beyond TQFTs and the Segal-Stolz–Teichner programme. The event will highlight recent
- [Non-Equilibrium Dynamics of Open Quantum Systems](https://bernoulli.epfl.ch/programs/non-equilibrium-dynamics-of-open-quantum-systems/) - This workshop is part of the Bernoulli Center programme at EPFL, to be held from 27 to 31 July 2026. This summer school aims at providing participants with a deep and modern theoretical understanding of the rich physics of open quantum dynamics, combining conceptual lectures with hands-on computational tutorials. It will form an interdisciplinary bridge
- [Nonlinear Markov Processes, Dirichlet forms, and PDEs](https://bernoulli.epfl.ch/programs/nonlinear-markov-processes-dirichlet-forms-and-pdes/) - This workshop is part of the Bernoulli Center programme at EPFL, to be held from 19 to 23 October 2026.
- [Random Geometry and Number Theory](https://bernoulli.epfl.ch/programs/random-geometry-and-number-theory/) - This workshop is part of the Bernoulli programme at EPFL, to be held from 22 June to 03 July 2026.
- [The Thermodynamics of Collisionless Plasmas](https://bernoulli.epfl.ch/programs/the-thermodynamics-of-collisionless-plasmas/) - This workshop is part of the Bernoulli Center programme at EPFL, to be held from 05 to 07 October 2026.
- [Facets of Frobenius-derived invariants](https://bernoulli.epfl.ch/programs/facets-of-frobenius-derived-invariants/) - This workshop is part of the Bernoulli Center programme at EPFL, to be held from 28 September to 02 October 2026. Numerical invariants, such as the Hilbert-Kunz multiplicity and F-signature, encoding dynamical properties of the Frobenius endomorphism play a crucial role in prime characteristic singularity theory of algebraic varieties. Yet the nature of the generating
- [Numerical methods for random differential models summer school, NUMRAD26](https://bernoulli.epfl.ch/programs/numerical-methods-for-random-differential-models-summer-school-numrad26/) - The summer school, to be held from 02 to 05 June 2026, will cover both introductory and advanced topics on numerical methods in the following areas: high-dimensional approximation, Gaussian processes, reduced order modeling for scientific machine learning, and mathematical finance. The school is addressed to young mathematicians (PhD students, early postdoc researchers, and highly motivated
- [Effective Field Theories for Hydrodynamics](https://bernoulli.epfl.ch/programs/effective-field-theories-for-hydrodynamics/) - This workshop is part of the Bernoulli Center programme at EPFL, to be held from 15 to 19 December 2025. In recent years, remarkable progress has been made in recasting hydrodynamics as a modern effective field theory (EFT), encompassing both quantum and statistical effects. This has required, in turn, advances in our understanding of the
- [AstroORDAS Workshop and ACME WP4 meeting](https://bernoulli.epfl.ch/programs/astroordas-workshop-and-acme-wp4-meeting/) - This workshop is part of the Bernoulli Center programme at EPFL, to be held from 8 to 12 December 2025. It is a week-long workshop on online research data analysis services (ORDAS) with a focus on the domains of astronomy, cosmology and astroparticle physics. The programme will include presentation sessions which will review existing approaches
- [Unifying geometric perspectives on the Hitchin moduli space](https://bernoulli.epfl.ch/programs/unifying-geometric-perspectives-on-the-hitchin-moduli-space/) - This workshop is part of the Bernoulli Center programme at EPFL, to be held from 10 to 14 August 2026.
- [Young Researchers in Mathematics](https://bernoulli.epfl.ch/programs/young-researchers-in-mathematics/) - This workshop is part of the Bernoulli Center programme at EPFL, to be held from 20 to 25 July 2026. The purpose of this programme is to bring together carefully selected Bachelor and/or Master students from around the world fo an immersive mathematical research experience. Students accepted to the programme will work closely with one
- [FOUVRY - 73](https://bernoulli.epfl.ch/programs/fouvry-73/) - This workshop is part of the Bernoulli programme at EPFL, to be held from 17 August to 11 September 2026.
- [Intersection of quantum learning theory, quantum sensing and quantum verification](https://bernoulli.epfl.ch/programs/intersection-of-quantum-learning-theory-quantum-sensing-and-quantum-verification/) - This workshop is part of the Bernoulli Center programme at EPFL, to be held from 27 April to 01 May 2026. This workshop brings together the communities of quantum learning theory, quantum sensing, and quantum verification to explore their shared challenges and opportunities. While each field has made significant independent progress, interaction between them has
- [Fundamental principles of learning and representation: from Brains to LLMs](https://bernoulli.epfl.ch/programs/workshop-on-fundamental-principles-of-large-language-models-llms/) - This workshop is part of the Bernoulli Center programme at EPFL, to be held from 11 to 13 May 2026. Today, the progress of AI capabilities far outpaces Moore’s law. More concerningly, it also exceeds the pace at which we understand how these systems learn, reason, and their reliability. AI is rapidly permeating many facets
- [Observers, wormholes and complex saddles in cosmology](https://bernoulli.epfl.ch/programs/observers-wormholes-and-complex-saddles-in-cosmology/) - This workshop is part of the Bernoulli Center programme at EPFL, to be held from 18 to 22 May 2026. We will explore the following open questions in theoretical cosmology, related to the quantisation of gravity: How does one describe gauge-invariant observables in quantum gravity that resemble measurements carried out by an observer residing in
- [Randomized Linear Algebra](https://bernoulli.epfl.ch/programs/randomized-linear-algebra/) - This workshop is part of the Bernoulli Center programme at EPFL, to be held from 15 to 18 June 2026.
- [Particles, Flows & Maps for Sampling Complex Distributions](https://bernoulli.epfl.ch/programs/particles-flows-maps-for-sampling-complex-distributions/) - This workshop is part of the Bernoulli Center programme at EPFL, to be held from 03 to 06 November 2025. This workshop aims to foster interdisciplinary communication among researchers working on modeling, analysis, and numerical methods in particle systems, gradient flows, and random maps, to target the problem of sampling complex distributions. The talks will
- [Optimal transport and metric geometry across structures](https://bernoulli.epfl.ch/programs/optimal-transport-and-metric-geometry-across-structures/) - This workshop is part of the Bernoulli Center programme at EPFL, to be held from 13 to 17 October 2025. This workshop aims to bring together leading experts and promising junior scientists in the fields of optimal transport and metric geometry. It is specifically designed to foster the contact between researchers who study Ricci curvature
- [Algebraic aspects of metric and integral geometry](https://bernoulli.epfl.ch/programs/algebraic-aspects-of-metric-and-integral-geometry/) - This workshop is part of the Bernoulli programme at EPFL, to be held from 02 to 20 March 2026. This three-week program will explore the emerging field of metric algebraic geometry, where algebraic geometry meets metric and integral geometry. The focus will be on algebraic structures underlying distance functions, curvature and volume formulas, integral geometry,
- [Homology and homotopy in the world of graphs](https://bernoulli.epfl.ch/programs/homology-and-homotopy-in-the-world-of-graphs/) - This workshop is part of the Bernoulli programme at EPFL, to be held from 14 to 18 September 2026.
- [Homology and homotopy in the world of graphs](https://bernoulli.epfl.ch/programs/homology-and-homotopy-in-the-world-of-graphs/) - This workshop is part of the Bernoulli programme at EPFL, to be held from 14 to 18 September 2026.
- [QFT in AdS: A novel window into strong coupling dynamics](https://bernoulli.epfl.ch/programs/qft-in-ads-a-novel-window-into-strong-coupling-dynamics/) - This workshop is part of the Bernoulli programme at EPFL, to be held from 16 to 27 February 2026. Anti-de Sitter (AdS) space provides a unique arena for quantum field theory and gravity. Beyond its role in the AdS/CFT correspondence: AdS acts as an “infinite volume box,” regulating infrared effects while retaining rich dynamics such
- [Frontiers in Numerical Methods for Nonlinear Partial Differential Equations](https://bernoulli.epfl.ch/programs/frontiers-in-numerical-methods-of-nonlinear-partial-differential-equations/) - This workshop is part of the Bernoulli Center programme at EPFL, to be held fro 6 to 10 October 2025. This workshop explores current frontiers in the numerical analysis of nonlinear partial differential equations. The program particularly emphasizes numerical methods for geometric PDE, applications to complex materials, and adaptive higher-order methods. The goal is to
- [Stochastic Analysis and Stochastic Geometric Analysis](https://bernoulli.epfl.ch/programs/stochastic-analysis-and-stochastic-geometric-analysis/) - This workshop is part of the Bernoulli Center programme at EPFL, to be held from 23 to 26 September 2025. This workshop “Young Researchers in Stochastic Analysis and Stochastic Geometric Analysis” provides a platform for young researchers to present their work, engage in discussions, and foster collaboration and idea-sharing in the fields of stochastic analysis
- [Long-time Dynamics in Random and Deterministic Systems](https://bernoulli.epfl.ch/programs/long-time-dynamics-in-random-and-deterministic-systems/) - This workshop is part of the Bernoulli Center programme at EPFL, to be held from 15 to 19 September 2025. This workshop will gather together promising young researchers from different areas, including PDEs, dynamical systems, kinetic theory, and probability. Recent breakthroughs highlight deep connections across fields —such as fluid dynamics, turbulence, and stochastic models— that
- [New Challenges in Hyperbolic Problems](https://bernoulli.epfl.ch/programs/new-challenges-in-hyperbolic-problems/) - This workshop is part of the Bernoulli Center programme at EPFL, to be held from 10 to 12 September 2025. The workshop aims at bringing together some of the most talented young researchers working on modern analytic aspects of hyperbolic conservation laws. The focus will be on the well-posedness and on fine properties of solutions
- [Summer School on the Mathematical Aspects of Data Science](https://bernoulli.epfl.ch/programs/summer-school-on-the-mathematical-aspects-of-the-data-science/) - This summer school is part of the Bernoulli Center programme at EPFL, to be held from 1 to 5 September 2025. The 2025 Summer School on the Mathematical Foundations of Data Science is designed for MSc and PhD students interested in the theoretical underpinnings of data science. As the second installment of a rotating international
- [Bernoulli Day](https://bernoulli.epfl.ch/programs/bernoulli-day/) - This special day will celebrate the conclusion of our initial four-year cycle. The detailed programme is as follows: Programme: 09:30 - 10:00 Welcome coffee 10:00 - 10:45 Thomas Vidick (EPFL) 11:00 - 11:45 Clément Hongler (EPFL) 12:00 - 13:30 Lunch break (by invitation only) 13:45 - 14:30 Lai-Sang Young (New York University) 14:45 -
- [Non-convex optimization: landscapes, dynamics and learning](https://bernoulli.epfl.ch/programs/non-convex-optimization-landscapes-dynamics-and-learning/) - This workshop is part of the Bernoulli Center programme at EPFL, to be held from 25 to 27 August 2025. This workshop will bring together experts and young researchers to discuss aspects of non-convex optimization that are related yet usually call for different mathematical tools: the study of landscapes, the analysis of algorithm dynamics,
- [Representations, Moduli and Duality](https://bernoulli.epfl.ch/programs/representations-moduli-and-duality/) - The programme consists of 5 weeks of research collaborations with one week-long school, one week-long conference and one workshop. More information on this programme will be published shortly. The CIMPA and the Bernoulli Center collaborate to fund the participation of young researchers, including doctoral students and those who have completed their doctorate within
- [Summer school on Positivity in K-theory and lattice points](https://bernoulli.epfl.ch/programs/summer-school-on-positivity-in-k-theory-and-lattice-points/) - This workshop is part of the Bernoulli Center programme at EPFL, to be held from 11 to 15 August 2025. The summer school consists of three lecture series - Marie Brandenburg (Ruhr University Bochum) — Positivity in Ehrhart theory - Mario Kummer (TU Dresden) — Lorentzian polynomials - Matt Larson (Princeton) — Positivity in K-theory
- [Summer School on Additive Combinatorics, Number Theory and Ergodic Theory](https://bernoulli.epfl.ch/programs/summer-school-on-additive-combinatorics-number-theory-and-ergodic-theory/) - This workshop is part of the Bernoulli Center programme at EPFL, to be held from 14 to 18 July 2025. In the past few years, there has been significant progress related to several major open problems in additive combinatorics and number theory, such as quantitative aspects of Szemerédi's theorem and its multidimensional and polynomial variants,
- [Optimal checkpoint strategies](https://bernoulli.epfl.ch/programs/optimal-checkpoint-strategies/) - Surveillance systems are critical for biological systems. Cellular self-replication is monitored by checkpoints, which arrest cells when errors are detected. However, checkpoints are hardly explored quantitatively. We were interested in checkpoint override, the phenomenon that checkpoints 'give up' or 'override' when cells are faced with persistent errors. We sought to find patterns to checkpoints override,
- [Adaptive Sampling for Constrained Optimization under Uncertainty](https://bernoulli.epfl.ch/programs/adaptive-sampling-for-constrained-optimization-under-uncertainty/) - Stochastic optimization problems with deterministic constraints commonly appear in machine learning, finance, and engineering applications. This talk presents an improved adaptive solution strategy for this important class of problems. The aim is to decrease the computational cost while maintaining an optimal convergence rate. The guiding principle is to adjust the batch size (or sample size)
- [Workshop on Stochastic Dynamics and Stochastic Equations](https://bernoulli.epfl.ch/programs/workshop-on-stochastic-dynamics-and-stochastic-equations/) - The workshop is part of the Bernoulli Center program at EPFL, to be held March 25 (Monday) -March 27 (Wednesday), 2024. The focus will be on SDEs, SPDEs, stochastic dynamics of stochastic equations, and related topics. It will start on Monday morning and conclude on Wednesday afternoon. To participate, please register on Google form. Kindly note that registration
- [External Program 1: Generation, evolution, and observations of cosmological magnetic fields](https://bernoulli.epfl.ch/programs/generation-evolution-and-observations-of-cosmological-magnetic-fields/) - 29 April - 07 June 2024 Generation, evolution, and observations of cosmological magnetic fields is a 6 week program at the Bernoulli Center with the objective to combine experts and young researchers in different areas related to cosmological magnetic fields. Website : https://indico.cern.ch/event/1334236/ The program is divided in three 2-week meetings. The first week of
- [Causality to get Population Health Sciences Right](https://bernoulli.epfl.ch/programs/causality-to-get-population-health-sciences-right/) - The goals of the symposium are to create a space to network and meet researchers working in the field of causal inference in Switzerland, to have the opportunity to discuss the work of young researchers and to meet Jay Kaufmann visiting from McGill University. Confirmed participants: Jay Kaufman (Department of Epidemiology, McGill University) Arnaud Chiolero
- [New trends and applications around generalized Fokker-Planck operators](https://bernoulli.epfl.ch/programs/new-trends-and-applications-around-generalized-fokker-planck-operators/) - New trends and applications around generalized Fokker-Planck operators This 4-weeks scientific program will be oriented around four related topics: 1. Hypoellipticity and various pseudodifferential methods 2. Hodge type Laplacians and their hypoelliptic deformations 3. Analysis of stochastic processes and applications to molecular dynamics and numerical methods 4. Accurate spectral analysis of (non) self-adjoint, (hypo)elliptic operators.
- [Evolution by Nature and by Design](https://bernoulli.epfl.ch/programs/evolution-by-nature-and-by-design/) - This summer school is part of the Bernoulli Center programme, however it will not take place at the Bernoulli Center. It is a joint-event EPFL-ETHZ taking place on the EPFL campus (precise room to be confirmed) This event will bring together scientists from around the globe to explore emerging approaches to evolving biological systems, particularly
- [p-adic and Characteristic p Methods in Algebraic Geometry](https://bernoulli.epfl.ch/programs/p-adic-and-characteristic-p-methods-in-algebraic-geometry/) - In light of the many interdisciplinary connections between algebraic geometry, singularity theory, commutative algebra and p-adic methods, the goal of this programme is to foster discussions and collaborations between experts from birational geometry and commutative algebra (among them, the members of the CAG), as well as experts in perfectoid and prismatic techniques. It will also
- [Detection and Emergence of Complexity: ALIFE Perspectives](https://bernoulli.epfl.ch/programs/detection-and-emergence-of-complexity-alife-perspectives/) - This workshop is part of the Bernoulli Center programme at EPFL, to be held from 26 to 28 May 2025. An abundance of systems has been studied as potential models of artificial life: from classical discrete cellular automata, to their randomized versions such as random Boolean networks, continuous systems including neural CAs or Lenia systems,
- [Probability and Mathematical Physics. Walks, Spins, Loops, Fields](https://bernoulli.epfl.ch/programs/probability-and-mathematical-physics-walks-spins-loops-fields/) - This workshop is part of the Bernoulli Center programme at EPFL, to be held from 19 to 23 May 2025. In will focus on exploring probabilistic methods in the study of classical and quantum spin systems and field theories. In particular, the focus will be on the following themes: Random walk and loop soup representations
- [Lausanne Event on Machine Learning and Neural Network Theory](https://bernoulli.epfl.ch/programs/lausanne-event-on-machine-learning-and-neural-network-theory/) - This workshop is part of the Bernoulli Center programme at EPFL, to be held from 12 to 16 May 2025. Neural networks, and deep learning in particular, have had unprecedented success across many domains in science, technology, and computing, leading to immense societal, commercial, and scientific impact. However, unlike classical domains of computer science, our
- [Arithmetic geometry of K3 surfaces](https://bernoulli.epfl.ch/programs/arithmetic-geometry-of-k3-surfaces/) - The aim of this programme is to break new ground in the arithmetic theory of K3 surfaces and closely related varieties (e.g., Enriques and elliptic surfaces; hyper-Kähler varieties), capitalising on a web of recent advances and conjectural frameworks. Progress on the arithmetic of K3 surfaces will likely have important consequences for more general questions about
- [Probability in conformal field theory](https://bernoulli.epfl.ch/programs/probability-in-conformal-field-theory/) - A 2 week interdisciplinary workshop addressing 2-dimensional conformal field theory using probabilistic methods. We aim to provide a collaborative environment and to foster informal discussions and dialogue between different communities. The program will include 7 mini-courses and several related talks. The particular focus will be on Minimal models, Imaginary Liouville theory, Loop models and SLE/CLE,
- [Workshop Combinatorial Geometry and Number Theory](https://bernoulli.epfl.ch/programs/workshop-combinatorial-geometry-and-number-theory/) - Combinatorial geometry is the study of extremal problems about finite arrangements of points, lines, circles, etc. Many questions have a strong intuitive appeal and can be explained to a layman. For instance, how many unit balls can be packed into a large box of a fixed volume? What is the maximum number of incidences between
- [AI: reasoning and mathematics](https://bernoulli.epfl.ch/programs/ai-reasoning-and-mathematics/) - Major progress is taking place in AI, particularly in text, image, audio processing. What about more complex reasoning tasks? Are current methods also breaking barriers in logic and mathematics? The even will cover recent results and developments on these topics.
- [External Program 2: New developments and challenges in Stochastic Partial Differential Equations](https://bernoulli.epfl.ch/programs/new-developments-and-challenges-in-stochastic-partial-differential-equations/) - 10 June - 16 August 2024 "New developments and challenges in Stochastic Partial Differential Equations" is a Bernoulli Center Program aiming to bring together researchers in stochastic analysis working on different topics and with different tools but under the common denominator of the study of SPDEs. As part of the meeting, there will be 3 workshops
- [Young researchers in deterministic and probabilistic dispersive equations](https://bernoulli.epfl.ch/programs/young-researchers-in-deterministic-and-probabilistic-dispersive-equations/) - The workshop aims at bringing together early career researcher in order to foster the communication and collaboration of researchers across a broad spectrum in the field of dispersive PDEs. Video Recordings : Monday 7 Nicolas Camps James Coe Yvonne Alama Bronsard Ambre Chabert Matthias Ostermann Tuesday 8 Ruoyuan Liu Leonardo Tolomeo Wednesday 9 C. Collot Maria
- [Duality, Geometry, Physics](https://bernoulli.epfl.ch/programs/duality-geometry-physics/) - This one-week workshop aims to foster exchange of ideas between mathematicians working on various duality phenomena inspired by mathematical physics, as well as to bring together world experts and aspiring young researchers working in these area(s).
- [Quantum Chaos](https://bernoulli.epfl.ch/programs/quantum-chaos/) - While the concept of chaos is well-established for classical interacting systems, a quantum mechanical formulation of chaos has yet to attain a comparable level of maturity. On one hand, classical notions like the butterfly effect need to be reimagined to accommodate the absence of phase-space trajectories and the inherent linearity of quantum dynamics. On the
- [External Program 3: Synergies of combinatorics and theoretical computer science](https://bernoulli.epfl.ch/programs/synergies-of-combinatorics-and-theoretical-computer-science/) - August 19 - September 13 Recently, there have been several breakthroughs on long-standing open problems in combinatorics and theoretical computer science, resulting from such synergistic connections between these two areas. This month-long program is focusing on the connections and unifying themes between combinatorics and theoretical computer science. It includes a one-week workshop with leading experts
- [Learning and Information Theory](https://bernoulli.epfl.ch/programs/learning-and-information-theory/) - Information theory and machine learning have long been related in fruitful ways. The LITH workshop brings together researchers working in these areas, identifying directions and tools that can lead to new fundamental advancements in each field. LITH is expected to be biennal at EPFL, before or after the Zurich Seminar (IZS). Program 2024 Monday March
- [Many-body electronic structure calculations for solids](https://bernoulli.epfl.ch/programs/many-body/) - This workshop is a multi-disciplinary gathering of mathematicians, physicists and chemists aiming to discuss the current theoretical and computational state-of-the-art of many-body electronic structure calculations for solids. While Kohn-Sham density functional theory models are the workhorse of solid-state electronic structure calculations, many-body approaches are required when studying materials such as multiferroics, Mott insulators, and high-temperature
- [Weak turbulence in general relativity](https://bernoulli.epfl.ch/programs/weak-turbulence-in-general-relativity/) - In the presence of confinement, the Einstein field equations are expected to exhibit turbulent dynamics. One way to introduce confinement to the equations is by imposing a negative value for the cosmological constant. In this setting, the AdS instability conjecture claims the existence of arbitrarily small perturbations to the initial data of Anti-de Sitter spacetime
- [Sublinear Algorithms](https://bernoulli.epfl.ch/programs/sublinear-algorithms/) - The goal of the workshop is to bring together top experts in sublinear algorithms for big data analysis and related areas, and learn about exciting recent developments in the field. The workshop will feature talks on recent research results, as well as ample time for board discussions and collaboration. Confirmed participants: Alex Andoni (Columbia University)
- [Lattices Meet Hashes: Recent Advances in Post-Quantum Zero-Knowledge Proofs](https://bernoulli.epfl.ch/programs/lattices-meet-hashes/) - Zero-knowledge proofs are a powerful cryptographic tool which has found numerous real-world applications in e.g. confidential transactions, anonymous credentials, e-voting and blockchain. Recently, due to the significant progress in building quantum computers, there has been tremendous interest in constructing such protocols from quantum-safe assumptions. The goal of this workshop is to share the current state-of-the-art
- [Dynamical low-rank approximation: New horizons](https://bernoulli.epfl.ch/programs/dynamical-low-rank-approximation-new-horizons/) - We are glad to announce a workshop dedicated to the research field of dynamical low-rank approximation. The present event aims at establishing and strengthening communication across international and interdisciplinary boundaries, to connect applied and theoretical researchers, and to communicate newly developed methods as well as requirements that arise in applications from different areas. The workshop
- [Enjoying Probability and Fluids in Lausanne](https://bernoulli.epfl.ch/programs/enjoying-probability-and-fluids-in-lausanne/) - The workshop aims at bringing together some of the most talented young researchers working on modern analytic and probabilistic aspects of fluid dynamics. The focus will be on Euler, Navier-Stokes equations and related models. Topics that might be addressed include non-uniqueness, blow-up, bifurcation, invariant measures, ergodicity, mixing. Invited speakers: Roberta Bianchini (CNR Rome) Elia Brué (Università Bocconi
- [Descriptive set theory and Polish groups](https://bernoulli.epfl.ch/programs/descriptive-set-theory-and-polish-groups/) - Descriptive set theory is classically defined as the study of definable (e.g. Borel, analytic) sets in Polish spaces -- separable, completely metrizable spaces. It has long thrived in its connections with classical areas of mathematics such as harmonic and functional analysis and logic (set theory and computability theory in particular). Over the course of the
- [Euler Systems and Special Values of L-functions](https://bernoulli.epfl.ch/programs/euler-systems-and-special-values-of-l-functions/) - The goal of this semester-long program is to gather the leading experts in the area of Euler systems and the Birch and Swinnerton-Dyer conjecture in order to initiate a more systematic study of Euler systems on higher rank reductive groups and their applications to generalizations of the BSD conjecture (Bloch–Kato–Beilinson conjectures). At the same time,
- [Arithmetic Statistics in Automorphic Forms and Analytic Number Theory](https://bernoulli.epfl.ch/programs/arithmetic-statistics-in-automorphic-forms-and-analytic-number-theory/) - This workshop is meant as an opportunity for community building and fostering collaborations between early career researchers (up to Post Doc) in the field of analytic number theory and automorphic forms. Participants are strongly encouraged to give a talk. Format: The workshop will take place over five days. Every day there will be one plenary talk given
- [Postdoctoral workshop on "Variational Learning of Quantum Matter"](https://bernoulli.epfl.ch/programs/postdoctoral-workshop-on-variational-learning-of-quantum-matter/) - Mini-conference at the intersection between classical and quantum variational algorithms to study quantum many-body systems. 5 days of focused talks and discussions among the 50 participants on a large terrace with boards and a beautiful view of the Geneva Lake. We will cover fundamental problems such as embedding symmetries and representational power of variational states, (higher-order) optimization techniques and
- [Biological Evolution Across Scales: Mathematical modelling and statistical inference](https://bernoulli.epfl.ch/programs/biological-evolution-across-scales-mathematical-modelling-and-statistical-inference/) - A 5-day interdisciplinary workshop addressing mathematical modelling, statistical inference and computational approaches in biological evolution. We aim to provide a collaborative environment and to foster informal discussions and dialogue between different communities. The program will include four thematic blocks: Probabilistic models, Structures and interactions, Inference, and Sequence data. Each block will include one keynote talk and invited talks, and
- [Dynamics, Transfer Operators, and Spectra](https://bernoulli.epfl.ch/programs/dynamics-transfer-operators-and-spectra/) - The transfer operator is one of the basic tools of ergodic theory of smooth "chaotic" dynamics. Its discrete spectrum gives rise to the Ruelle-Pollicott resonances, which embody fundamental statistical properties of the dynamics. This semester-long program brings together three communities who share an interest in transfer operator methods (also in the presence of singularities): mathematicians
- [Workshop on « Algorithms with predictions" also known as « Learning-augmented algorithms"](https://bernoulli.epfl.ch/programs/postdoctoral-workshop-on-algorithms-with-predictions-also-known-as-learning-augmented-algorithms/) - Algorithms with predictions, also known as learning-augmented algorithms, is an emerging field of research at the intersection of theoretical computer science and machine-learning. It looks to address the following question: How to use imperfect predictions in a robust way – retaining worst-case guarantees of classic algorithms – yet achieve optimal performance when the predictions are accurate?
- [Universal optimality in distributed computing and its connections to diverse areas of theoretical computer science](https://bernoulli.epfl.ch/programs/universal-optimality-in-distributed-computing-and-its-connections-to-diverse-areas-of-theoretical-computer-science/) - The modern computation and information processing systems shaping our world have become massively distributed, and a fundamental understanding of distributed algorithmics has never been more important. At the same time, despite 40 years of intense study, we often do not have an adequate understanding of the fundamental barriers that rule out the existence of ultra-fast
- [Enumerative geometry of moduli spaces of sheaves in low dimension](https://bernoulli.epfl.ch/programs/enumerative-geometry-of-moduli-spaces-of-sheaves-in-low-dimension/) - This semester-long program will be focused on the enumerative invariants of moduli spaces of sheaves in low dimensions. The main examples of the moduli spaces we will consider are the moduli spaces of sheaves on surfaces and Calabi-Yau 3-folds, the moduli spaces of vector and Higgs bundles on curves, and quiver varieties. The program will
- [Modern Trends in Combinatorial Optimization](https://bernoulli.epfl.ch/programs/modern-trends-in-combinatorial-optimization/) - Combinatorial Optimization deals with discrete optimization problems that are defined on combinatorial structures such as graphs, networks, or discrete sets in geometric arrangements. Motivated by diverse practical problem setups, the topic has developed into a rich discipline at the intersection of mathematics and theoretical computer science. The area is deeply rooted in other fields such as
- [Postdoctoral workshop on “Foliations in Algebraic and Birational Geometry”](https://bernoulli.epfl.ch/programs/postdoctoral-workshop-on-foliations-in-algebraic-and-birational-geometry/) - The goal of this workshop is to bring together researchers working on holomorphic foliations and birational geometry. There will be two mini-courses on recent advances in foliation theory and research talks by leading experts in the fields. For more information, consult the list of speakers and the schedule. Dates and Venue: September 5-9, 2022 at
- [Workshop on "Entanglement Scaling and Criticality with Tensor Networks"](https://bernoulli.epfl.ch/programs/workshop-on-entanglement-scaling-and-criticality-with-tensor-networks/) - The description of critical phenomena in terms of the renormalization group forms the cornerstone of our modern understanding of strongly-correlated systems. It leads to effective Hamiltonians that can be studied using numerical methods such as Monte Carlo, and the success of those methods relies heavily on scaling ideas for the interpretation of the data. Based
- [Stochastic Dynamical Models in Mathematical Finance, Econometrics, and Actuarial Sciences](https://bernoulli.epfl.ch/programs/stochastic-dynamical-models-in-mathematical-finance-econometrics-and-actuarial-sciences/) - This program focuses on three important areas where stochastic dynamical models play a major role, namely, mathematical finance, econometrics, and actuarial sciences. Stochastic dynamical models are of major importance in mathematical finance where, for example, the quality of the non-arbitrage pricing and hedging instruments for derivative products that this theory produces depends strongly on the
- [Local representation theory and simple groups](https://bernoulli.epfl.ch/programs/local-representation-theory-and-simple-groups/) - Local representation theory, pioneered by Richard Brauer in the 1930s had its first big successes in the classification of the finite simple groups. Since then, important and deep connections to areas as varied as topology, geometry, Lie theory and homological algebra have been discovered and used. Very recent breakthrough results have now led to the
- [Workshop & summer school on "Modern trends in Combinatorial Optimization"](https://bernoulli.epfl.ch/programs/workshop-summer-school-on-modern-trends-in-combinatorial-optimization/) - Combinatorial Optimization deals with discrete optimization problems that are defined on combinatorial structures such as graphs, networks, or discrete sets in geometric arrangements. Motivated by diverse practical problem setups, the topic has developed into a rich discipline at the intersection of mathematics and theoretical computer science. The area is deeply rooted in other fields such as
- [The role of mathematics and computer science in ecological theory](https://bernoulli.epfl.ch/programs/the-role-of-mathematics-and-computer-science-in-ecological-theory/) - The issues of climate change and biodiversity loss are definitely the major concerns for 21st-century science. Ecology is one of the most involved sciences in this challenge. Undoubtedly, mathematics and computer simulations have played an important role in the development of theoretical ecology for almost one century. They are often designated as "modeling". But what
- [Geometric Mechanics, Variational and Stochastic Methods](https://bernoulli.epfl.ch/programs/geometric-mechanics-variational-and-stochastic-methods/) - The basic goal of this program is to advance research in geometric as well as stochastic methods in mechanics, control theory, and imaging, taking into account recent developments also in connected areas, such as infinite dimensional Lie groups and representation theory, quantum gauge field theory, infinite dimensional analysis. Applications ranging from mathematical physics to modeling
- [Analytic and Geometric Aspects of Probability on Graphs](https://bernoulli.epfl.ch/programs/analytic-and-geometric-aspects-of-probability-on-graphs/) - Interplay between the probability theory and geometric group theory yielded many spectacular results enriching both areas. Asymptotic properties of various models coming from statistical physics and probabilities were connected to the geometry and combinatorics of the underlying discrete algebraic structure (for instance a group, a graph, a group action). The study started with simple random
- [Computational aspects of partition functions](https://bernoulli.epfl.ch/programs/computational-aspects-of-partition-functions/) - Partition functions arise as fundamental quantities in physics, mathematics, statistics, computer science and many engineering disciplines. They are often notoriously hard to compute since they typically involve summations over an exponential number of terms. Different computational approaches have been developed in various mathematical disciplines to bound or estimate these important quantities. The aim of this
- [Multi-scale Mathematical Modelling and Coarse-grain Computational Chemistry](https://bernoulli.epfl.ch/programs/multi-scale-mathematical-modelling-and-coarse-grain-computational-chemistry/) - The M^3 + C^3 semester programme concerns molecular and materials modelling from atomistic to continuum scales. Our aim in the programme is to bring together theoreticians and practitioners, from all of applied mathematics, statistics, engineering, physics and computational chemistry, to work on the development of a systematic account of available coarse-grain and multi-scale techniques, with
- [Dynamics with Structures](https://bernoulli.epfl.ch/programs/dynamics-with-structures/) - The theory of dynamical systems, which in barest terms is the study of maps from a set to itself, permeates mathematics and science. It is used in diverse contexts, from proving the existence of solutions of equations to the modelling of complex natural phenomena. In more recent years dynamical methods have proven to be remarkably

## Competition PDFs

- [Polympiads Problems](https://bernoulli.epfl.ch/competition_dociment/test-competition-2/)

## Media Videos

- [AI: reasoning and mathematics](https://bernoulli.epfl.ch/bernoulli_media/ai-reasoning-and-mathematics/)
- [Inauguration of the Bernoulli Center](https://bernoulli.epfl.ch/bernoulli_media/inauguration-of-the-bernoulli-center/)
- [Professor Serre series of Lectures](https://bernoulli.epfl.ch/bernoulli_media/professor-serre-series-of-lectures/)
- [Foliations in Algebraic and Birational Geometry](https://bernoulli.epfl.ch/bernoulli_media/foliations-in-algebraic-and-birational-geometry/)

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