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Exponential decay of matrix coefficients

Introductory Workshop: Geometric and Arithmetic Aspects of Homogeneous Dynamics February 02, 2015 - February 06, 2015

February 03, 2015 (03:40 PM PST - 04:40 PM PST)
Speaker(s): Hee Oh (Yale University)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC



For a simple Lie group G and a discrete subgroup Gamma of G, we will discuss  exponential decay of the matrix coefficients of G associated to functions on the quotient space Gamma\G. When G is of rank one, and Gamma is a lattice, this yields exponential mixing of the geodesic flow for  the associated Riemannian manifold.  We will also discuss a uniform  exponential decay for congruence subgroups of Gamma when Gamma is contained in an arithmetic subgroup of G.

23244?type=thumb Oh Notes 367 KB application/pdf Download
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H.264 Video 14164.mp4 350 MB video/mp4 rtsp://videos.msri.org/data/000/022/830/original/14164.mp4 Download
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