Seminar series
Date
Mon, 08 Nov 2010
Time
15:45 -
16:45
Speaker
Alexandra Pettet
Organisation
Oxford
Let $G $ be a compact Lie group, and consider the variety $\text {Hom} (\bb Z^k,G)$
of representations of the rank $k$ abelian free group $\bb Z^k$ into $G$. We prove
that the fundamental group of $\text {Hom} (\bb Z^k,G) $ is naturally isomorphic to direct
product of $k$ copies of the fundamental group of $G$. This is joint work with
Jose Manuel Gomez and Juan Souto.