Commuting tuples in reductive groups and maximal compact subgroups.
Juan Souto (University of Michigan)
Monday 28th March, 2011 16:00-17:00 204
I will discuss a few aspects of the topology of the space Hom(Z^k,G) of homomorphisms from a rank-k abelian group to a reductive group (e.g. G=SL_nC). The main result is that if K is the maximal compact subgroup of G (e.g. K=SU_n), then the inclusion of Hom(Z^k,K) into Hom(Z^k,G) is a homotopy equivalence. This is join work with Alexandra Pettet.