Top-level heading

Fineness and smoothness of a KSBA moduli of marked cubic surfaces

The moduli space of cubic surfaces marked by their \(27\) lines admits multiple compactifications arising from different perspectives. By work of Gallardo-Kerr-Schaffler, it is known that Naruki’s cro...

Normalised solutions to poly-harmonic equations with Hardy-type potentials via a Nehari-Pohozaev approach

Schrödinger-type equations model a lot of natural phenomena and their solutions have interesting and important properties. This gives rise to the search for normalised solutions, i.e., when the mass i...

Lattice Yang-Mills theory in the large N limit via sums over surfaces

Lattice Yang-Mills theories are important models in particle physics. They are defined on the d-dimensional lattice Z^d using a group of matrices of dimension N, and Wilson loop expectations are the f...

Macroscopic MFGs for traffic flow on networks with V2V connection?

In questo seminario si presenterà un problema aperto di passaggio al limite da scala micro a scala macro per un problema di Mean Field Game per il traffico veicolare su reti stradali. Il problema è ca...

On the unique continuation for degenerate elliptic operators

We discuss the unique continuation property for linear differential operators of the form sum of squares of vector fields satisfying Hörmander's bracket generating condition. We provide some negative ...

Previsioni ed inferenza: dai dati ed i modelli all'intelligenza artificiale

Si discute la rilevanza dei modelli, i dati ed i metodi dell'intelligenza artificiale nei problemi di previsioni ed inferenza in fisica. Le principali difficoltà nella trattazione di tali problemi son...

Unstable motions in Celestial Mechanics

One of the oldest problems in dynamical systems is the stability of the Solar System. That is, consider N bodies moving following Newton's law of gravitation, one of them with large mass (the Sun) and...

Mean curvature flow with generic initial data

Mean curvature flow is the gradient flow of the area functional where an embedded hypersurface evolves in direction of its mean curvature vector. This constitutes a natural geometric heat equation for...

Pattern formation and symmetry breaking for a family of functionals with isotropic local/nonlocal interactions

In this talk, we will introduce a rigorous approach to the study of the symmetry breaking and pattern formation phenomenon for isotropic functionals with local/nonlocal interactions in competition. Mo...