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 two-week event will broadly focus on spectral geometry, hyperbolic surfaces, and number theory, with the primary goal of fostering connections between these areas. By bringing together young researchers and engaging them in ongoing discussions around these topics, we aim to encourage collaboration and stimulate progress across these fields.

The first week will feature mini-courses delivered by young participants, providing an opportunity for early-career researchers to share their expertise.

The second week will consist of research-level talks by experts, highlighting recent developments in the field.

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 developments in extended functorial field theories; analytic structures in quantum field theory, including higher categorical analogues of  von Neumann algebras and Hilbert spaces; categorified geometric structures, such as higher vector bundles and stringor bundles; and, supersymmetry and its role in generalized cohomology theories.

The workshop and conference hope to provide an opportunity to advance the interface between homotopy theory, operator algebras, and quantum field theory.

FOUVRY – 73

This programme will be held from 17 August to 11 September 2026.

By its very nature, analytic number theory involves a very broad array of methods and tools. It has been instrumental in developing a number of important areas of mathematics, such as representation theory, from the characters of finite abelian groups, used by Dirichlet to study primes in arithmetic progressions, to the representation theory of reductive Lie groups, which is an essential component of the Langlands program. In recent years, important breakthroughs have been achieved using tools borrowed, for instance, from ergodic theory and homogeneous dynamics, from additive combinatorics, or from very fine aspects of probability theory (such as the so-called Gaussian Multiplicative Chaos).

It is because of the truly kaleidoscopic aspect of analytic number theory that young researchers benefit immensely from broad instructional programs where they can get first exposure to some of the new techniques which may be of critical importance in their own research.

The four-week programme at the Bernoulli Center aims at giving exactly this type of insight to PhD students and postdocs.

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.