Talk page

Title:
The Yang-Mills Equations Over Klein Surfaces

Speaker:
Chiu-Chu Melissa Liu

Abstract:
In “The Yang-Mills equations over Riemann surfaces”, Atiyah and Bott studied Yang-Mills functional over a Riemann surface from the point of view of Morse theory, and derived results on topology of the moduli space of algebraic bundles over a complex algebraic curve. In this talk, I will discuss Yang-Mills functional over a Klein surface (a 2-manifold equipped with a dianalytic structure) from the point of view of Morse theory, and derive results on topology of the moduli space of real or quaternionic vector bundles over a real algebraic curve. This is based on joint work with Florent Schaffhauser.

Link:
http://scgp.stonybrook.edu/video_portal/video.php?id=2007

Workshop:
Simons- Program: Low Dimensional Topology (Spring 2013)