A Filtration of the Magnus Representation

Geometry Topology Working Seminar
Friday, March 4, 2011 - 14:00
1 hour (actually 50 minutes)
Skiles 269
Rice University
While orientable surfaces have been classified, the structure of their homeomorphism groups is not well understood.  I will give a short introduction to mapping class groups, including a description of a crucial representation for these groups, the Magnus representation.  In addition I will talk about some current work in which I use Johnson-type homomorphisms to define an infinite filtration of the kernel of the Magnus representation.