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...

Un'introduzione alla Gamma Convergenza: Le transizioni di Fase

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...

On the connectedness of some degeneracy loci and of Ulrich subvarieties

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...

Ambrosio-Tortorelli approach to topological singularities and connections with jump minimizing liftings

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...

Dimension-free estimates on large Nash systems and applications

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...

Superoscillazioni: un ponta tra fisica, analisi e teoria dei numeri

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...

Slope of Siegel modular forms

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 ...

Automorphic forms, automorphic representations and Arthur's multiplicity formula

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...

On the chain rule for the divergence of irregular fields composed with BV functions

The aim of this talk is to provide an overview of recent results, obtained jointly with Graziano Crasta and Virginia De Cicco, regarding the chain rule for the distributional divergence of composite f...

One fine day for Chiara

Una giornata in memoria di Chiara Simeoni.Relatori:Mehmet ERSOY (Université de Toulon, France)Paola GOATIN (INRIA Centre, Université Côte d’Azur, France)Hatem ZAAG (Université Sorbonne Paris Nord, Fra...

Quadric bundles and hyperbolic equivalence

A quadric bundle is a flat projective morphism every fiber of which is isomorphic to a quadric hypersurface. I will talk about the operations of hyperbolic reduction and hyperbolic extension, inducing...

A notion of s-fractional mass for 1-currents in higher codimension

In this talk I will discuss a notion of s-fractional mass for 1-currents in high codimension. Such a notion generalizes the notion of s-fractional perimeter for sets in the plane to higher-codimension...