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Homological stability for families of groups

Connections for Women: Algebraic Topology January 23, 2014 - January 24, 2014

January 23, 2014 (02:30 PM PST - 03:30 PM PST)
Speaker(s): Nathalie Wahl (University of Copenhagen)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC



Symmetric groups, braid groups, certain mapping class groups and general linear groups are examples of families of groups known to display a stability phenomenon in their homology. In my talks, I will give an answer to the following questions: What do these examples have in common? When should one expect that a family of groups satisfies homological stability? and how does one check that such a family does indeed stabilize?

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