Topology, Algebraic Geometry, and Dynamics Seminar (TADS): Moduli of flat connections on surfaces and the Atiyah-Bott classes
Sep 23, 2022, 1:30 - 2:30 PM
Speaker: Yiannis Loizides, George Mason University
Title: Moduli of flat connections on surfaces and the Atiyah-Bott classes
Abstract: Let Sigma be a compact oriented surface (possibly with boundary), and let G be a compact connected simply connected Lie group. I will describe classes in the K-theory of a moduli space of flat G-connections on Sigma. In the case of a closed surface, these classes were introduced by Atiyah and Bott. When the boundary of the surface is non-empty, further investigation leads to a gauge theoretic version of a theorem of Teleman and Woodward.
Time: Friday, September 23, 2022, 1:30pm – 2:30pm
Place: Exploratory Hall, room 4208