Geometric Analysis and Topology Seminar

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The Geometric Burnside's Problem

Speaker: Brandon Seward, NYU

Location: Warren Weaver Hall 1314

Date: Wednesday, February 22, 2017, 11 a.m.

Synopsis:

Burnside's Problem and the von Neumann Conjecture are classical problems from group theory which were long ago answered in the negative. In 1999, Kevin Whyte defined geometric analogs of these problems and proved the Geometric von Neumann Conjecture. In this talk, I will present a solution to the Geometric Burnside's Problem. I will also present a strengthening of Whyte's result and draw conclusions about the existence of regular spanning trees of Cayley graphs.