We consider the discounted approximation of the critical Hamilton-Jacobi equation set on the real line associated with the Hamiltonian G(x,p):=H(x,p)-V(x), where H is a 1-periodic Tonelli Hamiltonian ...
Given a projective complex manifold M with an ample polarization there is canonically associated an affine bundle Z over M. The question I will discuss is under which circumstances Z is an affine vari...
We present a study of spectral gaps, entropy production and log Sobolev inequalities for some Lindblad equations modeling systems of N particles interacting pairwise. The bounds obtained, some o...
In recent decades, the study of many-body systems has been an active area of research in both physics and mathematics. In this talk, we will consider a system of N spin 1/2 interacting fermions confin...
This talk will describe recent joint work with Radu Laza on deformations of generalized Fano and Calabi-Yau varieties, i.e. singular versions of complex manifolds whose curvature is either positive or...
We propose a level set method to reconstruct unknown surfaces from a point cloud, without assuming that the connections between points are known. The formulation of the problem follows the variational...
Abstract: From the Matsumoto Yor observation to stationary measures for a discrete KdV model Let F(x,y)=(u,v) from R2 into itself such that F∘F(x,y)=(x,y). The discrete Korteweg-de Vries model associa...
The strong Green-Griffiths-Lang conjecture predicts that a complex quasi-projective variety X is of log general type if and only if there is a proper Zariski closed subset Z of X such that all the hol...
Let G be a complex reductive group and C be a complex smooth projective curve of genus at least two. The moduli space of G-Higgs bundles over C has a natural structure of holomorphic symplectic quasi-...
We present a kinetic model for opinion dynamics depending on the presence of social media contacts. Firstly, we describe how to model the evolution of the density of contacts starting from the microsc...
