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Stability of moduli spaces of manifolds

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

January 31, 2014 (11:00 AM PST - 12:00 PM PST)
Speaker(s): Oscar Randal-Williams (University of Cambridge)
Location: SLMath: Eisenbud Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

v1240
Abstract

I will first discuss some fairly classical homological stability phenomena: spaces of 0-manifolds (e.g. configuration spaces), and spaces of 2-manifolds (e.g. Riemann's moduli space). I will explain the general method, introduced by Quillen, for proving these stability theorems, and then explain some recent work with Søren Galatius which proves such a stability theorem for moduli spaces of 2n-dimensional manifolds (for n > 2).
Supplements
20109?type=thumb R-W Notes 5.96 MB application/pdf Download
Video/Audio Files

v1240

H.264 Video v1240.mp4 282 MB video/mp4 rtsp://videos.msri.org/v1240/v1240.mp4 Download
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