I shall present the classical Blaschke-Santalo inequality and Mahler’s conjecture on the volume product of convex sets as well as their functional extensions. I shall insist on a few recent results:  - a proof of a …

Présentation Ces journées sont organisées dans le cadre du projet ANR "Hyperbolic Equations, Approximations and Dynamics". Elles se tiendront du lundi 13 au jeudi 16 avril 2026 à l'Institut de Mathématiques de …

Wasserstein gradient flows of free energies are non-linear PDE which can be interpreted in terms of McKean-Vlasov self-interacting diffusion processes. In practice, using propagation of chaos, they are approximated …

We analyze a statistical estimator for Monge transport maps: solutions to the quadratic optimal transport problem. For absolutely continuous source measures, this map is uniquely defined as the gradient of a convex …

The mapping class group of a surface is a fundamental object in low-dimensional topology. Yet, basic questions about its linear representations remain unanswered. For example, the question of linearity remains wide …

The representability of the Picard stack of a proper rigid space is a long-standing open problem in rigid analytic geometry. Classical relative GAGA theorems give an affirmative answer in the algebrizable case, but …

Given two functions defined in a neighbourhood of a complex singularity of dimension 2, their linear combinations define a pencil of curves on the singular surface. Generically, these curves have the same topology; …

Title : Quid of the curvature ? Abstract : The aim of the talk is to explain the notion of curvature of a surface and discuss higher dimensions generalizations in order to answer this crucial question : how should …

Let $X = G/K$ be a Hermitian symmetric space of noncompact type (in rank one, $X$ is the unit ball in $\mathbb{C}^n$ and $G$ is the group $\mathrm{PU}(n,1)$), and let $\Gamma$ be a discrete and torsion-free subgroup …