Conferenza organizzata nell'ambito del progetto PRIN 2022 (APRIDACAS) 2022XZSAFN - CUP B53D23009540006 - PNRR M4.C2.1.1 Tutte le informazioni sul sito https://sites.google.com/uniroma1.it/apridacas...
We are interested in the optimal constant problem for the critical Sobolev embedding of the space Hk(M) into Lp*(M), where k is a positive integer, (M,g) is a closed Riemannian manifold of dimension n...
For the hard sphere gas, cumulants have been introduced to encode correlations between particles. In recent years, they have played a central role in the study of kinetic limits, fluctuations, and lar...
In this talk, I will present recent results on two-dimensional Bose gases with attractive interactions. More precisely, I will discuss the validity of Hartree theory, which states that the ground stat...
Hodge originally formulated his conjecture with integral coefficients. Atiyah and Hirzebruch showed in 1962 that it fails for torsion classes, and later Kollár produced non-torsion counterexamples. Si...
The closing meeting of the PRIN 2022 project "High Order Structure-Preserving Semi-Implicit Schemes for Hyperbolic Equations" will be held in Sapienza University of Rome in November 12-14, 2025.This w...
The closing meeting of the PRIN 2022 project "High Order Structure-Preserving Semi-Implicit Schemes for Hyperbolic Equations" will be held in Sapienza University of Rome in November 12-14, 2025.This w...
I will discuss a variant of the classical optimal transport dynamical problem, in which the entropy along the curve is minimized additionally to the kinetic energy.This results into a regularizat...
We characterize rotationally symmetric solutions to the Serrin problem on ring-shaped domains in ℝn (n ≥ 3). Our proof relies on a comparison geometry argument. In particular, by taking advantage of a...
The Poisson boundary is a measure-theoretic object attached to a group equipped with a probability measure, and is closely related to the notion of harmonic function on the group. In many cases, the g...
