Character varieties in low dimensional topology

02/28/2017 - 12:15pm
02/28/2017 - 1:10pm
Kenji Kozai (HMC)

Character varieties are algebraic objects that frequently arise in the study of the geometry of manifolds, particularly in dimensions 2 and 3. In particular, the geometry on the manifold can be described by representations of its fundamental group into the "isometry group" of the geometry, and character varieties are a way of encoding this information. I will give an introduction to the algebraic construction of character varieties, some of the algebraic structure of these objects, and the kinds of questions and results about character varieties that are of interest to topologists.

Millikan 2099, Pomona College