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...
I report here on a series of joint works with Alessandro Zilio (Université de Paris) about systems of competing predators interacting with a single prey. We focus on the analysis of stationary states,...
We consider the problem of finding domains that minimize the first eigenvalue of the Dirichlet Laplacian in a Riemannian manifold under volume constraint (Faber-Krahn minimizers). In the Euclidean set...
In this talk we introduce a general class of singularly-perturbed elliptic functionals Fε and we study their asymptotic behaviour as the perturbation parameter ε > 0 vanishes. Under suitable assump...
Besides their self-evident geometric significance, which can be traced back at least to Courant, free boundary minimal surfaces also naturally arise in partitioning problems for convex bodies, in capi...
Sub-Riemannian systems are an important class of nonlinear control systems with linear dependence on controls. Controllability properties for such systems are derived by the so-called Lie Algebra rank...
The symmetry of solutions of elliptic equations is a classical and challenging problem in PDE, connected with stability. In this talk we are concerned with parabolic equations and we ask whether the 1...
An important class of problems in geometric analysis consists in deforming the metric of a surface (or higher-dimensional manifold) in suitable ways, so that the new metric has a prescribed value of c...
Discuterò problemi e progressi recenti sulla dinamica statistica di un sistema deterministico di particelle classiche, nel limite cinetico che è governato, all'ordine principale, dall'equazione di Bol...
We study the hydrodynamic limit of a anharmonic chain subject to boundary condition in the hyperbolic space-time scale. By suitably adding noise to the Hamiltonian dynamics the macroscopic equation is...
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...
Nel seminario si presenteranno delle applicazioni delle algebre di vertice e algebre di vertice di Poisson in algebra, geometria e sistemi integrabili. In particolare si introdurrà la nozione di W-alg...
