Topology Seminar Series: Melissa Liu, Columbia

Melissa Liu, Columbia

Title: The Yang-Mills Equations Over Klein Surfaces
Speaker: Melissa Liu, Columbia
Date: Thursday, May 30, 2013
Time: 11:30am – 12:30pm
Place: Seminar Room 313, Simons Center


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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.