Seminar Event Detail


Student Geometry/Topology

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.

Files:


Speaker:  Patrick Haggerty
Institution:  Indiana University

Event Organizer:     

 

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