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...
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...
Motivated by the study of periodic Hamiltonians enjoying chiral or particle-hole symmetry, like the SSH model or the Kitaev chain, we present a topological study of families of symmetric functions fro...
Given a simple finite Lie algebra over the complex numbers, we can consider two other Lie algebras attached to it: its Langlands dual Lie algebra and the affine algebra at the critical level. It is a ...
In this talk, I will introduce restricted Poisson algebras in characteristic two and explore their connection with restricted Lie-Rinehart algebras. For the latter, a cohomology theory is
developed an...
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 ...
We present the construction of distinguished non-Kähler metrics on non-compact Calabi-Yau 3-folds. These metrics solve a system of equations known as the IIB system which arises in theoretical physics...
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...
How to conciliate the microscopic and macroscopic mathematical description of physical systems? We discuss the Boltzmann work in a modern perspective with a special focus on the rigorous derivation o...
