Topology, Algebraic Geometry, and Dynamics Seminar (TADS): Moduli of flat connections on surfaces and the Atiyah-Bott classes

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