Following the seminal works of Feruglio, Ding and Liu on modular symmetries in particle physics, the Siegel upper half-space has emerged as a natural framework for constructing predictive models of fe...
The regularity of the reference domain in a boundary value problem plays a crucial role in determining
the global regularity of the solution. While classical results assume smooth domains, namely of c...
Nella seconda lezione tratteremo in dettaglio il caso delle superfici K3, che permette di illustrare molti degli ingredienti che intervengono spesso nello studio della congettura: geometria iperbolica...
A classical idea going back at least to work of Leon Simon (1997) is that Liouville theorems for solutions to elliptic or parabolic PDEs are equivalent to Schauder-type regularity estimates. In this t...
We introduce the concept of horospherical billiard in the universal covering of a compact surface without focal points and prove some rigidity results assuming the existence of some geometric first in...
Exponential sums over finite fields are essential ingredients in the solution of many arithmetic problems. Their study often relies on algebraic geometry, and especially on Deligne's Riemann Hypothesi...
The Stochastic Sandpile Model is an interacting particle system introduced in the physics literature to study the mechanism of self-organized criticality. This model undergoes a phase transition when ...
Nella prima lezione cominceremo col presentare il celebre teorema del cono di Mori, in particolare nel caso delle varietà di Fano. Introdurremo quindi la congettura del cono di Morrison-Kawamata, le s...
Following the seminal works of Feruglio, Ding and Liu on modular symmetries in particle physics, the Siegel upper half-space has emerged as a natural framework for constructing predictive models of fe...
