Top-level heading

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...

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 ...

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...

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...

Divulgazione scientifica e cultura, le possibilità di una sintesi. Discussioni a partire dal libro "A spasso nella fisica moderna, le idee, gli scienziati

La divulgazione scientifica contemporanea è spesso dominata da narrazioni che hanno poco a che fare con la pratica quotidiana della ricerca scientifica e privilegiano invece aspetti sensazionalistici ...

Spectral Theory of Fokker-Planck Operators in Populations of spiking Neurons

We study Fokker-Planck operators arising in the population density approach to networks of spiking neuron models, where a neuronal ensemble is described by a probability density evolving under drift–d...