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SUMMARY:Deeper into the mapping class group via configurations - Andreas S
 tavrou (Cambridge)
DTSTART:20230215T160000Z
DTEND:20230215T170000Z
UID:TALK197230@talks.cam.ac.uk
CONTACT:Oscar Randal-Williams
DESCRIPTION:Configuration spaces are tools to study manifolds "a few point
 s at a time" and their homology can capture more information than the homo
 logy of a space itself. I will defend this claim by focusing on how the ho
 mology of configuration spaces of surfaces viewed as representations of th
 e surface mapping class group "sees deeper into" the mapping class group t
 han does the homology of the surface. We will see two approaches for doing
  this: one more algebraic\, through mapping spaces\, and one more construc
 tive and pictorial.
LOCATION:MR13
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