The Kuramoto model is a nonlinear system of ODEs that represents the behavior of coupled oscillators. The coupling is determined by a given graph and pushes the system towards synchronization. An important question …

Quantum topology offers tools to construct topologicalinvariants of knots and 3-manifolds, that are computable with simpleexponential algorithms. On the one hand, we are given algebraic data (afusion category) and …

https://indico.math.cnrs.fr/event/10478/

In this talk, we will focus on the evolution equations associated with nonselfadjoint quadratic differential operators. The purpose is first to understand how the possible non-commutation phenomena between the …

This will be a short recap of what we did before the summer, and the occasion to decide in what direction we move on. List of references : Quantitative estimates: Rupflin, Melanie; Sharp quantitative rigidity …

Abstract: Nonsmooth and nonconvex fractional programs are ubiquitous and also highly challenging. It includes the composite optimization problems studied extensively lately, and encompasses many important modern …

The presentation will be structured around the Atiyah-Singer index theorem. We will begin by discussing the concept of the index of Fredholm operators in general, followed by some of its basic properties. Then, we …

Coornaert had a classical construction extending Patterson-Sullivan measures to the setting of quasi-convex cocompact actions on Gromov hyperbolic spaces. It has some differences with the usual Patterson-Sullivan …

Pseudostratified epithelial tissues are characterized by tightly packed cells with minimal intercellular space. The forces exerted between neighbouring cells play a crucial role on the tissue shape and dynamics. …