Top-level heading

\(\pi\)-Flux Phase Stability in Z2 Lattice Gauge Theory

The Flux Problem is a famous problem in condensed matter physics, solved by Lieb. It states that the magnetic flux through each plaquette of a square lattice in 2d (with either OBC/PBC or PBC/PBC) th...

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...