Il seminario che era previsto per il 26/2, è rinviato a data da definirsi.
Maurizia Rossi (Università di Milano-Bicocca) terrà il seguente seminario
"Random waves: a probabilistic overview with an accent on Geometry"
Il seminario è rivolto a un pubblico matematico ampio. Tutti gli interessati, a partire dai dottorandi, sono invitati a partecipare.
Abstract. The geometry of (deterministic) Laplace eigenfunctions on manifolds is a challenging research topic, several natural questions are still open in their full generality, for instance Yau's conjecture on nodal volumes. A probabilistic counterpart of these questions aroused great interest recently, in particular for the universal behavior of high-energy eigenfunctions (the so-called Berry's ansatz). In this talk we investigate the geometry of random waves on manifolds, i.e. geometrical properties of their excursion sets. The aim is to give an introduction to this theory and, if time permits, to present some of the most recent results in this area.