# University of Toronto's Symplectic Geometry Seminar

Sept. 29 2003, 2:10 - 3

SS5017A

## 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.