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...
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...
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...
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...
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...
In this talk we give an overview of some semi-Lagrangian schemes that are applied to the numerical resolution of the Vlasov equation. The latter equation models typically the time evolution of charged...
Yamabe flow is an intrinsic geometric flow that deforms the metric of a Riemannian manifold. If the flow converges, it deforms the metric to a metric of constant scalar curvature with the sign dependi...
Riemannian Manifolds with holonomy G_2 are interesting both for geometers and for theoretical physicists. I will give a short introduction into the basics of G_2-geometry. I will then introduce the Cr...
Let V−>B be a holomorphic family of smooth complex projective and polarized varieties. The Noether-Lefschetz locus of B is the set of points x where the Picard rank jumps, i.e. where H_2(V_x) has e...
On large classes of closed even-dimensional Riemannian manifolds M, we construct and study the Copolyharmonic Gaussian Field, i.e. a conformally invariant log-correlated Gaussian field of distribution...
Nel seminario si introdurrà la nozione di W-algebra che trova importanti applicazioni in teoria delle rappresentazioni e fisica matematica. Si presenterà un approccio sistematico allo studio delle W-a...
