All semesters

  • Dynamics, Transfer Operators, and Spectra

    01 January 2021 - 30 June 2021

    Organisers :
    • Wael Bahsoun
    • Viviane Baladi
    • Mark Demers
    • Carlangelo Liverani

    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 from dynamical systems or probability, mathematicians from semi-classical analysis, and physicists and applied mathematicians in fluid dynamics, ocean/atmosphere dynamics and non-equilibrium statistical mechanics. It includes ...

  • Locally compact groups acting on discrete structures

    01 July 2020 - 31 December 2020

    Organisers :
    • Alejandra Garrido
    • Colin Reid
    • Stephan Tornier
    • George Willis

    Locally compact groups are ubiquitous in mathematics and are of fundamental importance to describing our universe. Those that act on discrete structures (the totally disconnected locally compact groups) arise in combinatorial geometry, number theory and algebra. Their study is an essential part of understanding the structure of general locally compact groups with significant advances being made in the last 25 years through varied approaches: an emerging local structure theory, decomposition theory and refinement of scale methods (analogous to eigenvalues) are ...

  • Functional Data Analysis

    01 January 2020 - 30 June 2020

    Organisers :
    • John Aston
    • Aurore Delaigle
    • Sofia Olhede
    • Victor Panaretos

    The unprecedented availability of data is revolutionising nearly every field of scientific endeavour. Technological advances let us measure processes and structures in aspects and resolutions that are extraordinary. A considerable challenge is that of scale: the sheer amount of data presents novel challenges and trade-offs between statistical efficiency and computational tractability, and gives rise to new theoretical paradigms. Modern data, however, are not just big. They are often complex, too: further to the challenge of scale, the data often carry ...

  • Dynamics with Structures

    01 July 2019 - 31 December 2019

    Organisers :
    • Magnus Aspenberg
    • Michael Benedicks
    • Anders Karlsson
    • Jörg Schmeling

    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 powerful in relation to problems in number theory, geometry and combinatorics which on the surface may seem to lack dynamical content. These various applications have ...

  • Multi-scale Mathematical Modelling and Coarse-grain Computational Chemistry

    01 January 2019 - 30 June 2019

    Organisers :
    • Carsten Hartmann
    • John Maddocks
    • Christof Schütte

    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 a focus on data-driven and non-asymptotic approaches.

    All events are co-organized with the CECAM. 

  • Computational aspects of partition functions

    01 July 2018 - 31 December 2018

    Organisers :
    • Rüdiger Urbanke
    • Nisheeth Vishnoi

    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 semester is to bring together experts from optimization, theoretical computer science, information theory and probability with the goal of jointly investigating computational approaches to partition functions, ...

  • Descriptive set theory and Polish groups

    01 January 2018 - 30 June 2018

    Organisers :
    • Justin Moore
    • Christian Rosendal
    • Todor Tsankov

    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 last 25 years, however, a vast number of new interactions have opened up the field to novel and exciting directions. The principal goal of the ...

  • Euler Systems and Special Values of L-functions

    01 July 2017 - 31 December 2017

    Organisers :
    • Henri Darmon
    • Dimitar Jetchev
    • Philippe Michel
    • Christopher Skinner

    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, we envision several introductory courses suitable for graduate students and post-doctoral assistants.

  • Stochastic Dynamical Models in Mathematical Finance, Econometrics, and Actuarial Sciences

    01 January 2017 - 30 June 2017

    Organisers :
    • Luc Bauwens
    • Yuri Kabanov
    • Juan-Pablo Ortega

    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 accuracy of the models that describe the dynamical behavior of the underlying assets. The interplay between finance and stochastic calculus is one of the most ...

  • Local representation theory and simple groups

    01 July 2016 - 31 December 2016

    Organisers :
    • Radha Kessar
    • Gunter Malle
    • Donna Testerman

    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 hope that some of the long standing and deep problems, some of which have been open for over five decades, can finally be settled.

    These recent ...

  • Enumerative geometry of moduli spaces of sheaves in low dimension

    01 January 2016 - 30 June 2016

    Organisers :
    • Tamas Hausel
    • Rahul Pandharipande
    • Fernando Rodriguez Villegas
    • Andras Szenes

    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 cover a wide range of aspects of this problem: enumerative geometry, knot theory, singularity theory and arithmetic, aiming to facilitate fruitful interactions between the various ...

  • Analytic and Geometric Aspects of Probability on Graphs

    01 July 2015 - 31 December 2015

    Organisers :
    • Itai Benjamini
    • Hugo Duminil-Copin
    • Tatiana Nagnibeda

    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 walks and their boundary theory and then extended to other models, such as percolation or the Ising model. Substantial progress was achieved on many different fronts, and several applications to group theoretical problems ...

  • Geometric Mechanics, Variational and Stochastic Methods

    01 January 2015 - 30 June 2015

    Organisers :
    • Sergio Albeverio
    • Ana Bela Cruzeiro
    • Darryl Holm

    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 in life sciences and engineering will be considered.

  • The role of mathematics and computer science in ecological theory

    01 July 2014 - 31 December 2014

    Organisers :
    • Roger Arditi
    • Donald Deangelis
    • Lev Ginzburg
    • Claude Lobry

    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 are "modeling" and "theory" in ecology and what are the places occupied respectively by mathematics and computer science are still controversial issues.

    The structure considered ...

  • Tropical geometry in its complex and symplectic aspects

    01 January 2014 - 30 June 2014

    Organisers :
    • Ilia Itenberg
    • Grigory Mikhalkin

    Please go to Website for more information.

  • Integrable Systems in the XXI century : symplectic, algebraic and spectral theory

    01 July 2013 - 31 December 2013

    Organisers :
    • Vladimir Fock
    • Alvaro Pelayo
    • Nicolai Reshetikhin
    • San Vu Ngoc


  • Hyperbolic dynamics, large deviations and fluctuations

    01 January 2013 - 30 June 2013

    Organisers :
    • Dmitry Dolgopyat
    • Yakov Pesin
    • Mark Pollicott
    • Luchezar Stoyanov


  • Rational points and algebraic cycles

    01 July 2012 - 24 December 2012

    Organisers :
    • Hélène Esnault
    • Andrew Kresch
    • Bjorn Poonen
    • Alexei Skorobogatov


  • Stochastic analysis and applications

    31 January 2012 - 30 June 2012

    Organisers :
    • Robert Dalang
    • Marco Dozzi
    • Franco Flandoli
    • Francesco Russo


  • Combinatorial, Algebraic and Algorithmic Aspects of Coding Theory

    01 July 2011 - 31 December 2011

    Organisers :
    • Amin Shokrollahi
    • Rüdiger Urbanke
    • Gilles Zémor


  • Group Actions in Analytic Number Theory

    01 January 2011 - 31 July 2011

    Organisers :
    • Emmanuel Kowalski
    • Philippe Michel


  • Semester Program on Discrete and Computational Geometry

    01 July 2010 - 31 December 2010

    Organisers :
    • János Pach
    • Emo Welzl


  • Spectral and Dynamical Properties of Quantum Hamiltonians

    01 January 2010 - 30 June 2010

    Organisers :
    • Peter Hislop
    • Frédéric Klopp
    • Vesselin Petkov
    • Georgi Raikov


  • Risk, Rare Events, and Extremes

    13 July 2009 - 31 December 2009

    Organisers :
    • Anthony Davison
    • Philippe Naveau
    • Jonathan Tawn


  • Advances in the Theory of Control Signals and Systems with Physical Modeling

    01 January 2009 - 30 June 2009

    Organisers :
    • Jean Lévine
    • Philippe Müllhaupt


  • Poisson Geometry and Momentum Maps

    01 July 2008 - 31 December 2008

    Organisers :
    • Anton Alekseev
    • Alberto Cattaneo


  • Real and Tropical Algebraic Geometry

    01 January 2008 - 30 June 2008

    Organisers :
    • Ilia Itenberg
    • Mikhail Shapiro
    • Frank Sottile


  • Algebraic, Symplectic Geometry and Physics

    01 July 2007 - 31 December 2007

    Organisers :
    • Denis Auroux
    • Anton Kapustin
    • Ludmil Katzarkov
    • Andrei Okounkov
    • Dmitry Orlov


  • Limits of Graphs in Group Theory and Computer Science

    01 January 2007 - 30 June 2007

    Organisers :
    • Goulnara Arzhantseva
    • Alain Valette


  • Asymptotic Behavior in Fluid Mechanics

    01 July 2006 - 31 December 2006

    Organisers :
    • Dragos Iftimie
    • Tudor Ratiu
    • Geneviève Raugel


  • Wavelets and Applications Semester

    01 January 2006 - 30 June 2006

    Organisers :
    • Michael Unser
    • Dimitri Van De Ville
    • Martin Vetterli


  • Spaces of Negative Curvature

    01 July 2005 - 31 December 2005

    Organisers :
    • Christophe Bavard
    • Peter Buser
    • Ruth Kellerhals


  • Group Representation Theory

    01 January 2005 - 30 June 2005

    Organisers :
    • Meinolf Geck
    • Donna Testerman
    • Jacques Thévenaz


  • Geometric Mechanics and Its Applications

    01 July 2004 - 31 December 2004

    Organisers :
    • James Montaldi
    • Juan-Pablo Ortega
    • Tudor Ratiu
    • Mark Roberts


  • Nonlinear Analysis and Applications : Variational Methods and Nonlinear Waves

    01 January 2004 - 30 June 2004

    Organisers :
    • Antonio Ambrosetti
    • Maria Esteban
    • Charles Stuart
    • John Toland


  • Mathematical Modelling of the Cardiovascular System

    01 July 2003 - 31 December 2003

    Organisers :
    • Erik Burman
    • Miguel A. Fernandez
    • Alfio Quarteroni


  • Mathematical Modelling of Biomolecules

    01 January 2003 - 30 June 2003

    Organisers :
    • Craig Benham
    • Philipp Bucher
    • Ralf Everaers
    • Mikhail Gromov
    • Richard Lavery
    • Arthur Lesk
    • John Maddocks
    • Christof Schütte


  • Galois Cohomology and Linear Algebraic Groups

    01 March 2002 - 31 December 2002

    Organisers :
    • Eva Bayer
    • Philippe Gille
    • Alexander Merkurjev


  • This is an out-of-semester activity

    01 January 2000 - 31 December 2000

    Special Event