|Date: Tuesday, November 14, 2017
Location: 1866 East Hall (3:00 PM to 4:00 PM)
Title: The Symplectic Representation of Mapping Class Groups
Abstract: In this talk we consider the action of the mapping class group of an orientable closed surface of genus g on the first homology of that surface. This action leads to a surjective representation onto the symplectic group Sp(2g,Z). After describing this representation, I will give some examples of what we can learn about mapping class groups by considering this representation. I will also make some remarks about the kernel of this representation, the Torelli group. This talk has minimal dependence on the talk from 10/31.
Speaker: Patrick Haggerty
Institution: Indiana University