Top-level heading

Abelian varieties, modular forms and moduli

The aim of the meeting is to discuss recent developments, techniques and open questions in the area of abelian varieties and their moduli spaces, modular forms, number theory and combinatorics, automo...

On the asymptotic invasion shape for nonlocal KPP equations

This work focuses on the propagation dynamics of the Fisher-KPP equation featuring spatial nonlocal diffusion. In contrast to classical local diffusion, where the propagation shape is solely determine...

Mathematical Modelling and Numerical Methods for Tumour-Induced Angiogenesis: Analysis, Efficiency and Reliability

Tumour-induced angiogenesis, which is the mechanism by which a solid tumour promotes the growth of new blood vessels to sustain its own progression, is a biologically complex phenomenon that poses non...

Purity for Hilbert schemes of planar curves

In the past 20 years, an increasingly clear picture connecting knot invariants, automorphic forms, and curve counting on Calabi-Yau 3-folds has emerged. Much of the geometry in this picture can be exp...

Numbers in their prime: da Euclide a Bateman-Horn

Le proprietà aritmetiche dei numeri interi suscitano interesse sin dagli albori della matematica e un ruolo privilegiato è ricoperto dai numeri primi. Partendo da alcuni risultati classici, arriveremo...

Stable surfaces with K^2=1 and chi=3

I will report on a joint work with S. Coughlan, R. Pardini and S. Rollenske. The investigation of (minimal) surfaces of general type with low invariants and their moduli spaces started with the work o...

Asymptotic behaviour of the N-BBM and its associated free-boundary PDE

The N-branching Brownian motion with selection (N-BBM) is a particle system consisting of N independent particles that diffuse as Brownian motions in R, branch at rate one, and whose size is kept cons...

Asymptotic behaviour of the N-BBM and its associated free-boundary PDE

The N-branching Brownian motion with selection (N-BBM) is a particle system consisting of N independent particles that diffuse as Brownian motions in R, branch at rate one, and whose size is kept cons...

Polynomial identities in algebra: invariants and graded structures

In this seminar we will introduce the theory of polynomial identities in algebra, by giving motivations and explaining classical results. Then, we will talk about PI algebras with involution and thei...

Finding spectral gaps in quasicrystals

The spectrum of periodic operators can be computed analytically and also approximated numerically using Bloch-Floquet theory, i.e. discrete Fourier transformation. For quasi-periodic operators no such...

Hyperbolicity of linear systems on abelian varieties

We will discuss the hyperbolicity of a very general element of a complete linear system on an abelian variety, and provide counterparts to some classical results concerning very general hypersurfaces ...

Applicazioni della coomologia quantistica a problemi di razionalità secondo Katzarkov, Kontsevich, Pantev, Yu

Cercherò di dare un’idea di alcuni dei risultati contenuti nel preprint ArXiv 2508.05105....