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...
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...
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...
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 ...
In questo seminario introduttivo presenteremo l’idea di $\Gamma$-convergenza, nozione sviluppata da De Giorgi come strumento per studiare il comportamento asintotico di problemi variazionali. Come ese...
We give necessary and sufficient conditions for the connectedness of some degeneracy loci. In the special case of Ulrich bundles, these degeneracy loci are called Ulrich subvarieties and we will see t...
We study the Gamma-convergence of Ambrosio-Tortorelli-type functionals, for maps u defined on an open bounded set Ω ⊂ R^n and taking values in the unit circle S^1 ⊂ R^2. Depending on the domain of the...
Nash equilibria for N-player stochastic differential games in closed-loop strategies are described by strongly coupled systems of N Hamilton–Jacobi–Bellman–type equations, known as Nash systems. Obtai...
Le superoscillazioni sono un fenomeno che nasce dalla teoria dei misuramenti deboli di Aharonov ma che trovano inaspettate applicazioni in microscopia (superrisoluzione) ed in teoria dei numeri. Da un...
I will study the Kodaira dimension of $A_g$, i.e., the moduli space of principally polarized Abelian $g$-folds, and of $X_g^n$, i.e., the space of Kuga $n$-fold varieties on these spaces. I will then ...
The Langlands program is a set of conjectures, proved in special cases, about profound connections between different areas of mathematics. One of them being the theory of automorphic forms. I will giv...
