Escape of mass for measures invariant under the diagonal group
Uri Shapira (Technion---Israel Institute of Technology)
MSRI: Simons Auditorium
Let A denote the diagonal group in SL(n,R) acting on the space of unimodular lattices in R^n. In this talk I will explain a construction of a sequence of A-invariant ergodic probability measures (supported on compact A-orbits) which converge to the zero measure. In fact the "geometry" of these orbits will be described in some detail.