In this talk, I will report some results on the solvability of the ergodic problem linked to Hamilton-Jacobi equations with fractional diffusion and power-type gradient nonlinearity, posed on a bounde...

In this seminar, I will present a recent modelling framework for heterogeneous populations, in which individuals’ movement and interactions depend on their phenotype. As a case study, I consider an ex...

We discuss a class of nonlinear exchange dynamics for interacting spin systems, inspired by Boltzmann-type equations from kinetic theory. These dynamics provide a nonlinear Monte Carlo approach for sa...

We are interested in computing the electric field generated by a neutral, localized charge distribution in a random medium, modeled by a linear elliptic equation in divergence form. First, I will pres...

Energy balance climate models provide a relatively simple framework in which some fundamental mechanisms of climate dynamics can be studied analytically. I will first recall the classical scalar model...

Abstract: In recent years, dilute quantum gases have attracted considerable interest from the mathematical and experimental physics communities, partly due to advances in ultracold atomic gas experime...

The complex projective space CP^n, which parametrizes the complex lines in C^{n+1}, is one of the most extensively studied objects in algebraic and complex geometry. The first Einstein metric discover...

We study semi-Lagrangian schemes for the numerical approximation of first-order Mean Field Games and Hamilton–Jacobi equations on networks. As a first contribution, we present a numerical scheme for a...

In this talk we will focus for $N\geq 2$ on fractional $W^{1-1/N,N}$ maps from an $(N−1)$-dimensional sphere into itself as traces of maps with finite energies modelled on the N-Dirichlet integral. We...

Orthogonal Shimura varieties arise naturally as moduli spaces in algebraic geometry, one example being the moduli space of quasi-polarized K3 surfaces. Their geometry is closely related to the theory ...

Abstract: La congettura di Hodge predice l'esistenza di una profonda connessione tra la struttura di Hodge associata a una varietà liscia e proiettiva e lo studio delle sue sottovarietà. La congettura...

We investigate the behaviour of a gas of weakly interacting bosons in a box with periodic boundary conditions. Starting from a quasi-free truncation of the quantum BBGKY hierarchy and performing an ul...