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Regularity for minimizers of the Griffith energy

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...

Dalla Didattica Blended alla Didattica Digitale Integrata: sperimentazioni con studenti STEM

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...

Singular Light Leaves

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...

Two Dimensional Models of Multi-Lane Traffic Flow with Lane Changing Conditions

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...

Min-max construction of anisotropic CMC surfaces

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...

Puzzling pyramidal molecules: solved problems that raise new questions

Abstract: The mere existence and the spectroscopic behavior of pyramidal molecules like ammonia have remained unsolved problems since the early developments of quantum mechanics. A possible solution c...

Algebre di Cayley-Hamilton e pseudocaratteri

Il titolo si riferisce al teorema di Cayley-Hamilton che esprime il fatto che una matrice n×n su un anello commutativo A soddisfa il suo polinomio caratteristico. La Teoria delle algebre di Cayley-Ham...

Control and identification of unknown PDEs

In this talk we address the control of Partial Differential equations (PDEs) with unknown parameters. Our objective is to devise an efficient algorithm capable of both identifying and controlling the ...

Detecting a late changepoint in the preferential attachment model

ABSTRACT: Motivated by the problem of detecting a change in the evolution of a network, we consider the preferential attachment random graph model with a time-dependent attachment function. Our goal i...