L'obiettivo del seminario consiste nel dare una panoramica della teoria delle algebre di Hall coomologiche (COHA, in breve) di dimensione due e dei suoi legami, da un lato, con lo studio della topolog...
Discuterò la disuguaglianza di Penrose riemanniana in una 3-varietà asintoticamente piatta, con curvatura scalare non negativa, e i punti principali di una nuova dimostrazione per mezzo di una formula...
In 1977 at the Cortona Conference on several complex variables the speaker proposed to make studies on "the K3 modular function". That is the explicit expression of the inverse of the period map for a...
The Averaging process (a.k.a. repeated averages) is a mass redistribution model over the vertex set of a graph. Given a graph G, the process starts with a non-negative mass associated to each vertex. ...
I will provide a self-contained variational approach to state some classical and new results in the framework of Aubry-Mather theory. More precisely, I will discuss the expansion by Gamma-convergence ...
In this talk we aim at establishing large deviation estimates for the probability that a simple random walk on the Euclidean lattice (d>2) covers a substantial fraction of a macroscopic body. It tu...
The Schrödinger problem consists in finding the most likely evolution of a system of i.i.d. particles, conditionally on their initial and final configurations. In the last decade this problem has beco...
In 1971 J. Serrin proved that, given a smooth bounded domain Ω⊂Rn and u a positive solution of the problem: −Δu=f(u) in Ω, u=0 on ∂Ω, ∂_νu= constant on ∂Ω, then Ω is necessarily a ball and u is radial...
A crucial issue in capillarity-type problems is understanding the behavior of solutions near singular points in the boundary of the container. In the special case of the relative perimeter functional,...
In this talk we will consider a reverse Faber-Krahn inequality for the principal eigenvalue μ_1(Ω) of the fully nonlinear operator P_{+N}u:=λ_N(D2u), where Ω⊂R^N is a bounded, open convex set, and λ_N...
