Inizialmente presenterò alcuni risultati riguardanti il calcolo di potenziali di volume basati sull' "approximate approximation" delle relative densità mediante funzioni gaussiane o funzioni ad esse c...
La teoria algebrica dei campi quantistici è una teoria assiomatica utile a costruire e studiare proprietà di modelli quantistico-relativistici definita da Haag e Kastler nel 1964. In questa analisi si...
An important class of problems in geometric analysis consists in deforming the metric of a surface (or higher-dimensional manifold) in suitable ways, so that the new metric has a prescribed value of c...
I will discuss geometric and dynamical properties of actions of discrete groups on Riemannian symmetric spaces. I will highlight some aspects of the interplay between geometry and dynamics, and presen...
I report here on a series of joint works with Alessandro Zilio (Université de Paris) about systems of competing predators interacting with a single prey. We focus on the analysis of stationary states,...
We will report on a joint work with J. Cao. Our main result establishes the extension of twisted canonical forms defined on an infinitesimal neighborhood of the central fiber of a Kahler family under ...
Gli sviluppi più notevoli dello studio delle trasformazioni geometriche si ebbero nella seconda metà del XIX secolo e culminarono nell’opera di Luigi Cremona sulle trasformazioni birazionali del piano...
The canonical line bundle and the corresponding canonical sheaf belong to the most
important geometric/analytic objects associated to a complex manifold. They play a crucial
role e.g. in classificatio...
We consider the problem of finding domains that minimize the first eigenvalue of the Dirichlet Laplacian in a Riemannian manifold under volume constraint (Faber-Krahn minimizers). In the Euclidean set...
The description of regular blocks of the category O of a complex semisimple Lie algebra in
terms of perverse sheaves on a flag variety has been a crucial tool for its study, and in
particular for the ...
Campana introduced the class of special varieties as the varieties admitting no maps onto
an orbifold of general type. They are also characterized by the non-existence of Bogomolov
sheaves which are r...
