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Student Geometry/Topology Seminar

The Symplectic Representation of Mapping Class Groups
Tuesday, November 14, 2017
3:00-4:00 PM
1866 East Hall Map
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(s): Patrick Haggerty (Indiana University)
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics