Exceptional orbits on homogeneous spaces and their applications (Dmitry Kleinbock, Brandeis University)

24.05.2022 10:30

I will talk about dynamical systems (X,F), where X is the set of unimodular lattices in {\mathbb R}^d, and F a diagonal subsemigroup of \textrm{SL}_d({\mathbb R}). The goal is to construct points in X with F-trajectories eventually avoiding some interesting (and quite mysterious) compact subsets of X, namely critical loci of convex symmetric domains. I will discuss the situations when this can be done, in particular using the technique of Schmidt games. The results are joint with Jinpeng An, Lifan Guan and Anurag Rao.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-05, Tuesday 24.05.22, Séminaire "Groupes et géométrie"

entrée libre