Top-level heading

Abelian differentials and their periods

An abelian differential is a smooth projective curve endowed with an algebraic one-form. I will discuss the uniformization of the moduli of abelian differentials provided by their periods, its arithme...

Entropy and mixing time of non-local Markov chains

Abstract: We discuss the convergence to the stationary distribution for non-local Markov chains on general spin systems on arbitrary graphs. We show that the relative entropy functional of the corresp...

Equality in the Miyaoka--Yau inequality and uniformization of klt pairs of general type

Let (X, D) be a projective kit pair, where KX+D is ample and D has standard coefficients. Guenancia and Taji have shown that a suitable version of the famous Miyaoka--Yau inequality holds in this sett...

Problemi di deformazione

Abstract:Attraverso alcuni esempi proverò a motivare l’interesse nelle algebre di Lie differenziali graduate e il loro ruolo nella teoria della deformazione....

50 years of Mountain Pass Theorem

A conference to celebrate the theorem and its authors. link al sito...

On the convergence of a simple two scales dynamics

In this talk we will consider a SDE characterised by different time scales, different diffusion coefficients, and a confining potential V that couples all the degrees of freedom. The rates of converge...

Positively multiplicative graphs, affine Grassmannians and finite automatons

Positively multiplicative graphs are graphs whose adjacency matrix can be embedded in a matrix algebra admitting a distinguished basis labelled by its vertices with nonnegative structure constants. It...

How to make log structures

I discuss how to practically put a log structure on a toroidal crossing space, and hopefully sketch applications to smoothing toric Fano varieties and log birational geometry. This is work in progress...