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 …

We will consider random Schrödinger operators in 1d, both in the discrete and the continuum setting. It is known that for a large class of potentials, Anderson localisation holds: the spectrum is pure point and the …

Dans cet exposé, je présenterai des méthodes récemment développées pour étudier le comportement asymptotique de suites bivariées u(n,g) définies par récurrence. De telles récurrences apparaissent naturellement dans …