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Homological Stability

Women in Topology November 29, 2017 - December 01, 2017

November 30, 2017 (02:15 PM PST - 02:45 PM PST)
Speaker(s): Nathalie Wahl (University of Copenhagen)
Location: SLMath: Eisenbud Auditorium
Tags/Keywords

  • Homology of groups

  • homological stability

  • E_2 and E_infty-algebras

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

6-Wahl
Abstract

Families of groups such as symmetric groups or general linear groups, and
families of spaces such as con guration spaces or certain moduli spaces of manifolds,
display a stability phenomenon in their homology. I'll describe this phenomenon and give an idea about how such theorems are proved.

Reading List:

First three sections of
 O. Randall-Willliams and N. Wahl, \Homological stability for autormorphism
groups", Advances in Mathematics, Vol. 318 (2017), pp. 534 - 626.
Supplements
30208?type=thumb Wahl Notes 174 KB application/pdf Download
Video/Audio Files

6-Wahl

H.264 Video 6-Wahl.mp4 184 MB video/mp4 rtsp://videos.msri.org/6-Wahl/6-Wahl.mp4 Download
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