- Series
- Geometry Topology Student Seminar
- Time
- Wednesday, October 30, 2013 - 2:05pm for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Becca Winarski – Georgia Tech
- Organizer
- Rebecca Winarski
Let MCG(g) be the mapping class group of a surface of genus g. For
sufficiently large g, the nth homology (and cohomology) group of MCG(g) is
independent of g. Hence we say that the family of mapping class groups
satisfies homological stability. Symmetric groups and braid groups also
satisfy homological stability, as does the family of moduli spaces of
certain higher dimensional manifolds. The proofs of homological stability
for most families of groups and spaces follow the same basic structure, and
we will sketch the structure of the proof in the case of the mapping class
group.