Friday, May 19, 2017
12:00 pm

Undergraduate Math Club Seminar

The Moduli Space of Flat Tori
Mark Greenfield, Department of Mathematics, University of Michigan, Ann Arbor

Across mathematics, one seeks to understand collections of all possible objects of a certain kind. In many contexts this is called a moduli space. In this talk, we will examine an important basic example of a moduli space: the collection of flat metrics on the 2-torus. Along the way, we will encounter the compactness results of Mahler and Mumford. While they generalize to seemingly very different results, for this moduli space they end up being equivalent.

Contact Mathematics Department at 4335
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