3:30 pm Thursday, December 6, 2012
Geometry Seminar: Loops, Characters and Elliptic Curves by David Ben-Zvi (UT) in RLM 9.166
I will describe joint work with David Nadler (and in parts with David Helm, Sam Gunningham and Anatoly Preygel) exploring some variations on themes by Graeme Segal, relating representations of loop groups, quantum field theory and elliptic curves. Our main object of study is the category of "elliptic character sheaves". This category can be viewed as a categorified Verlinde algebra, housing characters for categorical representations of loop groups. It forms part of an extended three dimensional topological field theory, with close ties to geometry of character varieties of surfaces. I will explain how elliptic character sheaves provide a natural setting for a variety of phenomena in representation theory, including affine Springer theory, unipotent representations of p-adic groups, the geometric Arthur-Selberg trace formula, and the geometric Langlands program in genus one. Submitted by
|
|