IT: Presenteremo lo stato dell'arte sul problema della regolarità delle curve minime della lunghezza in varietà sub-Riemanniane, un problema aperto da almeno 40 anni. Il seminario avrà un carattere...
Abstract: I present some results concerning the number of critical points and the number of nodal domains of Steklov eigenfunctions. The results have been obtained in collaboration with Luca Battaglia...
The classical Bloch-Ochiai theorem states that a complex projective manifold with irregularity larger than its dimension has no Zariski dense entire curve. I will present a generalization of this theo...
Over the last few decades, the study of the nonlinear Schrödinger equation on \(\mathbb{R}^N\) has been investigated by numerous researchers. However, very few results are known when the domain is non...
We discuss regularity for the crack set of a minimizer for the Griffith fracture energy, arising in the variational modeling of brittle materials. In the planar setting, we prove an epsilon-regulari...
Abstract: Farò una veloce panoramica dei miei principali interessi di ricerca focalizzata sui seguenti temi:L’interdisciplinarità nella didattica della MatematicaL’uso delle tecnologie per l’inse...
In this talk, we will describe how to construct a basis of Bott-Samelson bimodules, called singular light leaves. Bott-Samelson bimodules are algebraic objects that correspond geometrically to resolut...
The first part of the talk is dedicated to the derivation on an advection-diffusion equation in two dimensions from a system of one dimensional hyperbolic PDEs modeling the macroscopic behavior of mul...
We prove the existence of nontrivial closed smooth surfaces with constant anisotropic mean curvature with respect to elliptic integrands in closed smooth 3-dimensional Riemannian manifolds. Joint work...
