In 2013, Cattiaux and Guillin introduce the so-called HC(K) condition for $K \in \mathbb{R}$ on the drift and the diffusion coefficients of an $\mathbb{R}^d$-valued SDE to study the stability of the latter …

In this talk we consider the stationary nonlinear Schrodinger equation with radial bounded potentials. In the first part of the talk, we devise a procedure in order to prove the existence of two solutions through …

Étant donné un groupe libre F et K un corps, nous nous intéressons à l’anneau de groupe K[F]: il s’agit des fonctions de F dans K à support fini. L’anneau de groupe étant non commutatifs (sauf si F est isomorphe à …

The goal of this talk is to have a peak at the class field tower problem. For this, we will have to understand the concept involved. In the context of a number field (finite field extension of Q), I will give …

The Kähler–Ricci flow is a powerful parabolic tool for studying the geometry of Kähler manifolds. Its interplay with complex geometry suggests that singularity formation and continuation through singularities can be …

Abstract : Boolean functions (which transform a finite sequence of 0/1 bits, to a 0/1 value) are one of the basic objects of theoretical computer science. They arise in various areas of mathematics, as e.g. …

The mean width and mean norm are two fundamental geometric parameters associated with convex bodies. In this talk, we present optimal estimates for these quantities which are obtained when the body is placed in …

A polynomial endomorphism $f$ of $\mathbb C^k$ is regular if it can be holomorphically extended to $\mathbb P^k$. For $f$ of degree at least two, its equilibrium measure is the unique invariant probability measure …