In this talk, I will describe a conformal technique inspired by the works of Fischer-Colbrie ('85) and Elbert–Nelli–Rosenberg ('07), and explain how it has recently been used successfully to obtain cl...
Abstract: Il problem solving matematico richiede non solo l'attivazione di conoscenze e strategie, ma anche la capacità di monitorare, controllare e riorientare il proprio pensiero. In questa prospett...
L'idea generale è di presentare un quadro degli sviluppi della disciplina e dei principali protagonisti, nel più ampio contesto della Facoltà di scienze dell'università romana, e delle vicende politic...
È possibile migliorare la stima della velocità della luce utilizzando dati sul prezzo del grano in Kansas o sul numero di spettatori di una partita di calcio? L’intuizione classica, radicata nei lavor...
I will discuss a homogenization framework for anisotropic fractal porous media, which are fractal materials that could have different dimensions in each spatial direction. I will discuss both the scal...
We will show how the Deferred Correction framework can be effectively applied to guarantee positivity-preservation (along with high order of accuracy) in production-destruction systems, with further a...
Point and line arrangements in the plane arise in various contexts, including topology (Zariski pairs), algebra (freeness), and combinatorics. Notably, Hirzebruch utilized these configurations to cons...
In this talk, I will give some recent results on the Hartree system with Hardy-Littlewood-Sobolev critical exponent. Under some technical conditions on potentials, we investigate the existence and mul...
In this talk, we consider Sobolev maps from a planar domain into a
closed Riemannian manifold and their BV liftings via a double covering
of the target. We present a sharp lower bound on the jump le...
We will discuss the period index questions for 2-torsion Brauer elements of function field of a hyperelliptic curve over global field of char 0. As a consequence, we deduce finiteness of the u-invaria...
We will start with a brief introduction to topology of real algebraic curves, and then will discuss in more details the case of curves of degree 6 in the real projective plane. The main purpose of the...
Thurston’s geometrization theorem, proved by Perelman, is a major accomplishment in geometry and topology as it solved the long standing Poincaré conjecture. This theorem states that any reasonable th...
