Speaker: Anurag Rao
Affiliation: SIMIS Shanghai
Title of Talk: Constructing bounded orbits in homogeneous space
Date: January 22, 2026
Time: 11:00:00 Hours
Venue: AG-77

Abstract: Consider a noncompact homogeneous space equipped with the action of a one-parameter diagonable subgroup. In this dynamical system we study the set of points with precompact orbit which, due to the work of Kleinbock-Margulis, is known to be a dense set of full dimension. Motivated by a theorem of Davenport-Schmidt in Diophantine approximation we revisit this work and give a construction for bounded orbits with large closures. Based on joint work with Manfred Einsiedler and Dmitry Kleinbock.