University of Toronto's Symplectic Geometry Seminar

Sept. 29 2003, 2:10 - 3

Robert Wendt

University of Toronto

"On conjugacy classes in loop groups and principal G-bundles over elliptic curves"

Abstract: Let G be a semisimple complex algebraic group. It is known that the connected components of the moduli space of principal G-bundles over an elliptic curve are weighted projective spaces. In this talk, I will show how one can obtain this result using invariant theory of the centrally extended loop group of G. This is joint work with Stephan Mohrdieck.