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HJB-RBF based approach for the control of PDEs

Semi-lagrangian schemes for discretization of the dynamic programming principle are based on a time discretization projected on a state-space grid. The use of a structured grid makes this approach not...

The Gatenby-Gawlinski model for acid-mediated tumour growth

For evident reasons, Cancer Biology is one of the most challenging topics of current medical research and understanding the mechanism behind its uncontrolled growth is a crucial issue. Among other exp...

Moduli spaces of residueless meromorphic differentials and the KP hierarchy

I'll present a recent joint work with A. Buryak and D. Zvonkine, where we study the moduli spaces of residueless meromorphic differentials, i.e., the closures, in the moduli space of stable curves, of...

Horospheres in several complex variables

A horocycle in the unit disk of the complex plane is a euclidean disk which is internally tangent to a point p of the boundary of the disk. Horocycles are limits of Poincaré balls as the center moves ...

Stochastic Galerkin Formulations for Hyperbolic Balance Laws

The idea to represent stochastic processes by orthogonal polynomials has been employed in uncertainty quantification and inverse problems. This approach is known as stochastic Galerkin formulation wit...

Centers as cohomology, representations and microlocal sheaves

In a pioneering 1981 paper De Concini and Procesi provided a beautiful description for cohomology of fixed point sets (Springer fibers) (G/B)_​ϵ in type A. This was an important precursor to two later...

Finiteness Theorems for Gromov-Hyperbolic Groups

This is a joint work with G. Courtois, S. Gallot and A. Sambusetti. We shall prove that, given two positive numbers and H, there are finitely non cyclic torsion-free -hyperbolic marked groups (Γ.Σ) sa...

Special varieties and hyperbolicity

Campana proposed a series of conjectures relating algebro-geometric and complex-analytic properties of algebraic varieties and their arithmetic. The main ingredient is the definition of the class of s...

Sulla moltiplicazione delle funzioni sferiche di uno spazio omogeneo affine senza molteplicità di tipo A

Sia G un gruppo algebrico semplice definito sui complessi e sia K un sottogruppo riduttivo di G, chiuso nella topologia di Zariski. La varietà omogenea G/K è detta senza molteplicità se ogni component...