This workshop gathers together prominent scientists and young researchers, promoting the exchange of ideas around the relations between small and large scales, focusing on interacting particle systems...
Abstract: In this talk we will discuss some rigidity results for bounded positive solutions of the general capillary overdetermined problem: div(∇u√1+|∇u|2)+f(u)=0div(∇u1+|∇u|2)+f(u)=0 in ΩΩ, u=0u=0 o...
Abstract: The theory of Yangians was introduced by Drinfeld in the 1980s as a systematic approach to solving the Yang-Baxter equation: every irreducible finite-dimensional representation is equipped w...
Abstract: Cosa succede se rimuoviamo l'assioma delle parallele dalla geometria euclidea? Scopriamo un nuovo ricchissimo mondo in cui tante cose amene accadono: rette parallele divergono all'infinito, ...
Abstract: We study the Brownian evolution of large non-Hermitian matrices and show that their log-determinant converges to a 2+1 dimensional Gaussian field in the Edwards-Wilkinson regularity class, i...
Jenkins and Serrin in the sixties proved a famous theorem about minimal graphs in the Euclidean 3-space with infinite boundary values. After reviewing the classical results, we show how to solv...
We consider a symmetrization procedure for convex function in R^n that preserves mixed volumes of the sublevel sets, and for which a Pólya-Szegő type inequality holds. We will obtain a stability impro...
We study the adiabatic response of open systems governed by Lindblad evolutions (or Gorini-Kossakowski-Sudarshan) and hence affected by some form of friction. In particular, we present the analog of t...
The goal of the talk is proving a conjecture of Claude Roger about the universal central extension of the Lie algebra of volume-preserving vector fields. In the beginning we will briefly review the no...
How do we recognize faces? How do we divide people into groups if they are not all friends with each other? How do magnets work? Introduced back in 1982 as a neural network realization of an associati...
We study the evolution in time of smooth sets in the n–dimensional flat torus, such that their boundaries, which are smooth hypersurfaces, move by surface diffusion flow (i.e. the H−1H−1 gradient flow...
We present recent results on the local in time well-posedness of stochastic thin-film equations driven by Gaussian noise, which is white in time and colored in space, with strictly positive initial da...
