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Representation stability and applications to homological stability

Introductory Workshop: Algebraic Topology January 27, 2014 - January 31, 2014

January 31, 2014 (09:30 AM PST - 10:30 AM PST)
Speaker(s): Thomas Church (Stanford University)
Location: SLMath: Eisenbud Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

v1239
Abstract

I will give an introduction to the theory of representation stability, through the lens of its applications in homological stability. I'll focus on three applications: homological stability for configuration spaces of manifolds; understanding the stable (and unstable) homology of arithmetic lattices; and stability for twisted homology such as H_i( GL_n(R); R^n ), where the coefficients change along with the groups.
Supplements
20108?type=thumb Church notes 7.78 MB application/pdf Download
Video/Audio Files

v1239

H.264 Video v1239.mp4 340 MB video/mp4 rtsp://videos.msri.org/data/000/019/793/original/v1239.mp4 Download
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