Soit K un corps et I un idéal à deux générateurs de K[x, y]. Nous présenterons un théorème qui décrit les orbites de l'action naturelle du groupe linéaire GL_2(K[x, y]) sur les paires génératrices de I. Ce théorème …

It is well-known that the number $N(t)$ of births in a Malthusian Crump--Mode--Jagers process up to time $t \geq 0$ typically grows asymptotically like $\mathrm{e}^{\alpha t}$ where $\alpha > 0$ is the abscissa …

The first-order hyperbolic relaxation system is a class of time-dependent partial differential equations which model various non-equilibrium phenomena. For such systems, the main interest is to understand the zero …

Supervised convolutional neural networks (CNNs) are widely used to solve imaging inverse problems, achieving state-of-the-art performance in numerous applications. However, despite their empirical success, these …

The study of Lagrangian submanifolds is a central theme in symplectic geometry. In this talk, after a brief introduction on the basics of symplectic geometry, we are going to study Lagrangian submanifolds in S2×S2, …

Hyperbolicity is a central theme in complex geometry, with several apparently different ways of expressing that a complex manifold contains no “flat” complex directions. Starting from the Poincaré metric on the unit …

In part 1 we have seen what are cone complexes and how one can attach a cone complex to a pair $(X,D)$ consisting of a variety and a divisor. In part 2 we will see: 1. the geometric information encoded in the cone …

I will introduce the Brauer group of smooth complex varieties and describe the two different types of information it contains: one coming from the algebraic structure of the variety, and a purely topological …

Abstract: We study a continuous-time principal--multi-agent problem in which the principal has standard expected-utility preferences, while the agents evaluate their terminal compensations through criteria that …

In this talk, we investigate the reflected, drifted Brownian motion on a bounded domain. More precisely, we consider mixed absorbing-reflecting boundary conditions and investigate the notion of quasi-stationary …