Conformal field theories (CFTs) are a powerful tool for describing critical phenomena. While CFTs are highly constrained by symmetry, only in very special cases are exact solutions available. A relatively new tool for describing many-body systems near criticality is the large-charge expansion. This tool allows a systematic computation of the CFT data that is necessary […]

The workshop will discuss latest developments of the interactions between (geometric) group theory and theory of operator algebras. This is a lively topic which has long been known to be of importance for the study of dynamical systems and ergodic theory, but in recent years has also exhibited unexpected connections for example to quantum information […]

Shuffle algebras have long provided important tools in the study of quantum groups. We plan to cover an exciting development of this construction, in which Feigin-Odesskii type shuffle algebras are used to study quantum loop groups, which has already had numerous applications to the theory of integrable systems, geometric representation theory, Macdonald polynomial theory, algebraic […]

The moduli space of metric graphs MGg is a key object in geometric group theory, algebraic geometry and quantum field theory. In particular, the cohomology of various graph complexes may be understood geometrically as sheaf cohomology on MGg. Recent advances have furthermore uncovered deep connections between MGg and objects of central interest in neighboring areas […]

In recent years, optimal transport (OT) theory has emerged as a immensely popular intersection of mathematics, statistics, and computer science, overlapping with topics including partial differential equations (PDEs), optimization, image processing, inverse problems, sampling and machine learning. The deep theoretical foundations of optimal transport have led to its critical role in addressing both classical and […]

Alps III: Exploring phases of matter through symmetries and tensor networks The ALPS (Advanced Lectures in Physics in Switzerland) is a series of junior schools in theoretical physics taking place in the Swiss Mountains. Its principal aim is to lay the foundation for fruitful collaborations between young researchers with a variety of backgrounds. It is […]

The Junior Euler Society (JES) is the outreach program of the Department of Mathematics at the University of Zurich (UZH). The aim of JES is to provide interested young people of all school levels the opportunity to deal with mathematics beyond the school program.

This conference will bring together researchers studying moduli spaces of curves and abelian varieties from different perspectives: enumerative, combinatorial, and geometric, and number theoretic.

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Workshop in Mathematical Physics is aimed at introducing graduate students and postdocs to current developments in the field. This is a recurring workshop, held in Les Diablerets every February since 2005. It covers current developments in mathematical physics and realted areas, rotating the subject over the years. The emphasis will be on hot topics, to […]

Quantum physics predicts a variety of phenomena challenging our understanding of the physical world. Among the most striking effects are quantum correlations. When distant observers perform local incompatible measurements on a shared entangled state, the resulting correlations are non-classical, in the sense of being incompatible with the predictions of classical physical. The aim of this […]

Interaction with homological and quantum algebra, representation theory, geometry, and computation has led to great leaps in low-dimensional topology over recent years. Examples include the program aimed at disproving the smooth four-dimensional Poincare conjecture; the emergence of polynomial-time computable knot polynomials;  and topological approaches to problems in Lie theory. The synthesis of breakthrough ideas that […]

The goal of this workshop is to bring together junior and senior researchers at the forefront of mathematical investigations into the dynamical behavior of fluid flow. Recent years have seen rapid progress on fundamental issues connecting to the theory of turbulence and mixing dynamics. For the classical fluid equations of Euler and Navier Stokes, key […]

Confirmed speakers: Pavel Etingof (MIT): Analytic Langlands correspondence Nikita Nikolaev (University of Birmingham): Geometric resurgence Eric Verlinde (University of Amsterdam): Quantum chaos and low dimensional quantum gravity models Talks by: TBA Place: Maison des Congrès, Les Diablerets, Switzerland The 2026 Winter School in Mathematical Physics is mostly aimed at PhD and postdoctoral students. Master students can […]

This event is jointly organized by the “Swiss Mathematical Society”and the “Société Mathématique de France”. The intertwining of research and outreach is a deeply federating topic for both mathematical societies, and will allow researchers from all fields to join. We propose a conference enabling researchers to create outreach content from their own research, and experience […]

This conference aims to bring together physicists and mathematicians interested in low-dimensional examples of holographic dualities, the orbit method and their interplay via the quantization of coadjoint orbits of the Vi- rasoro group.

The 12th SwissMAP Annual General Meeting will take place from 7-10 September 2025 at the SwissMAP Research Station (Les Diablerets). The programme features: Colloquia speakers: Andrea Agazzi (UNIBE) Anton Alekseev (UNIGE) Johannes Broedel (ETH Zurich) Nicolas Brunner (UNIGE) Short talks by participants A dinner at Glacier 3000   Useful documents: Schedule of the General Meeting […]

Modular forms, and more generally automorphic forms, is a classical topic that has been studied since the 19th century. Over time, the subject has evolved into a large research area with unexpected and far-reaching connections to many different domains. Recently, there have been spectacular development and applications such as • applying non-classical modular forms to […]

A two-dimensional conformal field theory (2D-CFT) is a quantum field theory on a Euclidean two-dimensional space, that is invariant under local conformal transformations. In contrast to other types of conformal field theories, 2D-CFTs have infinite-dimensional symmetry algebras. In some cases, this allows them to be solved exactly — at least in the physics sense. Mathematicians […]

The Mathematical Physics Summer School for masters students is organized by SwissMAP and offers introductory lectures to different aspects of mathematical physics.   —- Confirmed speakers: Anton Alekseev (University of Geneva) Edward Mazenc (ETH Zurich) Nikita Nikolaev (University of Birmingham) Elise Raphael (University of Geneva) Alexander Thomas (Lyon 1) Fridrich Valach (University of Hertfordshire) Registration […]