University of Toronto's Symplectic Geometry Seminar

October 19, 2009, 2:10 pm
Bahen 6183

Lisa Jeffrey

University of Toronto

Real loci of based loop groups


The based loop group is an infinite-dimensional analogue of a coadjoint orbit. It can be equipped with an antisymplectic involution. It is possible to prove a form of Duistermaat's convexity theorem in this situation, and study the cohomology ring (with coefficients in $Z_2$) of the fixed point set of the involution.