## Topology & Geometric Group Theory Seminar

## Spring 2010

### 1:30 – 2:30, Malott 203

Tuesday, March 2

**Allen
Hatcher**, Cornell University

*The Madsen–Weiss Theorem*

The Madsen–Weiss theorem computes in homotopy-theoretic terms
the homology of mapping class groups of surfaces in a stable range of
dimensions. In this talk I will sketch the simpler proof of this
theorem that has evolved over the past few years through the work of
several people, particularly Soren Galatius. The arguments are
elementary, using only pre-1970 results, apart from Harer's 1985
homology stability theorem.

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