Lawrence C. Evans once wrote: “One important principle of mathematics is that extreme cases reveal interesting structure.” In this talk, we put this piece of mathematical wisdom to the test. First...
Projective spaces are the most basic algebraic varieties that we know and rational varieties are those that are the closest possible to being projective spaces. The question of rationality of algebrai...
In this talk I will review some recent progress in the understanding of the optimal matching problem. While the work of Ajtai-Komlos-Tusnady in the 80's on this classical optimization problem attracte...
C*-algebraic bundles (nowadays simply called Fell bundles) were introduced by Fell at the end of the sixties as yet another tool to deal with the representation theory of locally compact groups. The r...
We are interested here in questions related to the maximal regularity of solutions of elliptic problems with Dirichlet boundary condition (see [1]). For the last 40 years, many works have been concern...
Abstract: Constructing hyper-Kähler manifolds is a hard problem. Up to deformation, all the known examples are built from moduli spaces of stable sheaves on a K3 (or abelian) surface. It is natural ...
Sia X una varietà di Fano liscia, complessa, di dimensione 4, e \(\rho(X)\) il suo numero di Picard. Inizieremo discutendo il seguente risultato: se \(\rho(X)>12\), allora X è un prodotto di superf...
In occasione dell'evento internazionale May12 Celebrating Women in Mathematics, giornata internazionale delle donne nella matematica, l'Unità pianificazione, programmazione e Biblioteca Centrale e l'I...
The Brauer group, classifying Azumaya algebras up to Morita equivalence, is a fundamental invariant in number theory and algebraic geometry. Given a moduli problem M (e.g. smooth curves of a given gen...
Let G be a reductive connected group over an algebraically closed field of characteristic p . Of particular importance in the study of G is the set u(G) of unipotent conjugacy classes. It is known tha...
