The dynamical formulation of optimal transport
between two probability measures $\mu_0,\mu_1$ on a (sub)Riemannian manifold $M$, aims at minimizing
the square integral of a Borel family of vector fiel...
A classical rigidity result of Alexandrov asserts that if $ 1 \leq k \leq n $ is an integer and $ \Sigma $ is a compact $ C^2 $-regular hypersurface of $ \mathbf{R}^{n+1} $ such that the $ k $-t...
A classical rigidity result of Alexandrov asserts that if $ 1 \leq k \leq n $ is an integer and $ \Sigma $ is a compact $ C^2 $-regular hypersurface of $ \mathbf{R}^{n+1} $ such that the $ k $-th mea...
Abstract: In this colloquium talk I will make a general presentation about a number of topics intervening in the area of functional inequalities. Like the very diverse qualitative properties of t...
We consider in this talk the celebrated Brézis-Nirenberg equation in the non-coercive case $\lambda > \Lambda_1$, where $\Lambda_1$ is the first eigenvalue of the Laplacian on a bounded open set of...
In the 1990s, Stanley and Brenti developed the foundations of what is now known as the Kazhdan--Lusztig--Stanley (KLS) theory. To each kernel in a graded poset, one may associate special functions cal...
This talk will try to remain at an elementary technical level while its main purpose is to build a bridge between hard-core people working on spectral theory of (non)self-adjoint operators, and hard-c...
We prove a conjecture of Cherednik describing the Betti numbers of compactified Jacobians of unibranch planar curves via superpolynomials of algebraic knots. The methods of the proof use the theory of...
Let $(M,g)$ be a closed Riemannian manifold of dimension $n \ge 3$ and $P_g$ be a conformally-covariant operator on $(M,g)$. We consider in this talk two problem at the crossroads of conformal geometr...
We consider the standard Ginzburg-Landau system for N-dimensional maps definedin the unit ball for some parameter eps>0. For a boundary data corresponding to a vortex of topological degree one, the...
We present kinetic type methods able to approximate compressible type flow, with or without viscous and thermal effects. Many numerical example illustrate the methods and show effectiveness. The work ...
For algebraic actions of finite groups on singular complex algebraic varieties, equivariant Hirzebruch characteristic classes have been defined by Cappell, Maxim, Schürmann and Shaneson. The correspon...
