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CATEGORIES:Differential Geometry and Topology Seminar
SUMMARY:Deeper into the mapping class group via configurat
 ions - Andreas Stavrou (Cambridge)
DTSTART;TZID=Europe/London:20230215T160000
DTEND;TZID=Europe/London:20230215T170000
UID:TALK197230AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/197230
DESCRIPTION:Configuration spaces are tools to study manifolds 
 "a few points at a time" and their homology can ca
 pture more information than the homology of a spac
 e itself. I will defend this claim by focusing on 
 how the homology of configuration spaces of surfac
 es viewed as representations of the surface mappin
 g class group "sees deeper into" the mapping class
  group than does the homology of the surface. We w
 ill see two approaches for doing this: one more al
 gebraic\, through mapping spaces\, and one more co
 nstructive and pictorial.
LOCATION:MR13
CONTACT:Oscar Randal-Williams
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