Escape of mass for measures invariant under the diagonal group

Advances in Homogeneous Dynamics May 11, 2015 - May 15, 2015

May 13, 2015 (10:20 AM PDT - 11:10 AM PDT)

Speaker(s): Uri Shapira (Technion---Israel Institute of Technology)
Location: SLMath: Eisenbud Auditorium

Tags/Keywords

thin subgroup
discrete subgroups
SL(n-Z)
compact orbit
unimodular lattices
ergodic measure
convergence of measure

Primary Mathematics Subject Classification

Secondary Mathematics Subject Classification No Secondary AMS MSC

Video

14243

Abstract

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.

Supplements

	Shapira.Notes 180 KB application/pdf	Download

Video/Audio Files

14243

H.264 Video	14243.mp4 292 MB video/mp4 rtsp://videos.msri.org/14243/14243.mp4	Download

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