The homology of the mapping class group

20 November 2019
16:00
Luciana Bonatto
Abstract

We will discuss what it means to study the homology of a group via the construction of the classifying space. We will look at some examples of this construction and some of its main properties. We then use this to define and study the homology of the mapping class group of oriented surfaces, focusing on the approach used by Harer to prove his Homology Stability Theorem.

  • Junior Topology and Group Theory Seminar