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CIRM – Centre International de Rencontres Mathématiques

We plan to work on several explicit problems about K-stability of smooth and singular Fano threefolds described in the proposal together with Hamid Abban (Nottingham, England) and Kento Fujita (Osaka, Japan). Hamid Abban works on K-stability of Fano varieites, and birational geometry of Fano varieties. His recent results on K-stability crucially changed the subject over the last two years. Kento Fujita is an expert in the general theory of K-stability of Fano varieties. One of the most important works of Fujita consisted on finding and proving a valuative criterion for K-stability.

Harmonic analysis on homogeneous spaces is a fundamental area of research that simultaneously generalizes classical harmonic analysis on groups and on Riemannian symmetric spaces. It naturally relates to many areas of mathematics, playing a central role in representation theory and the theory of automorphic forms.

Representation Theory and Noncommutative Geometry

Analysis,    Infinitesimalrechnung, Differentialgleichungen, Integralrechnung

CIRM – Centre International de Rencontres Mathématiques

During the past decades, Teichmüller–Thurston theory and its connections to geometrization of 3-manifolds have been used as a model to understand discrete subgroups of higher rank Lie groups and their associated locally homogeneous manifolds. This lead to spectacular developments in which the notion of Anosov group (a subtle higher rank generalization of convex-cocompactness) plays a central role. This school, aimed primarily at PhD students and young postdocs, will present the fundamental results on which these recent developments build, including both geometric, dynamical and analytic aspects of discrete subgroups of Lie groups.

CIRM – Centre International de Rencontres Mathématiques

Friezes, introduced 50 years ago by Coxeter, are patterns of integers defined by a simple, local condition. They consist of a finite (or infinite) number of rows written in a lattice, starting with a row of 0s and a row of 1s and satisfying a local SL2-rule: for any four neighbours a, b, c, d forming a diamond we require ad − bc = 1. Since the discovery of links to cluster algebras of type A, a plethora of generalisations have been studied in the last decades. With this workshop, we will provide a platform to establish new links between friezes and research areas in geometry, algebra and combinatorics.

Geometrie und Topologie,    Graphentheorie und Kombinatorik

Université de Bordeaux

The closing conference of ANR JINVARIANT will be held in Bordeaux, at the Institut de Mathématiques de Bordeaux, on June 4–6, 2025. This will also be the opportunity to celebrate our friend and colleague Yuri Bilu and his work on the occasion of his 60th birthday. The conference will center around: the j-invariant function and singular moduli, modular curves, integral points, Diophantine equations.

j-invariant, singular moduli, modular curves, integral points, Diophantine equations

Centre International de Rencontres Mathématiques (CIRM)