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SUMMARY:Spaces of commuting elements in Lie groups
DTSTART:20140731T141500
DTEND:20140731T153000
DTSTAMP:20260509T014912Z
UID:68471f83d957da7bc73e956a230e6f4d3542133e142e708fd973efe7
CATEGORIES:Conferences - Seminars
DESCRIPTION:Mentor Stafa (Tulane University)\nWe study the spaces of order
 ed pairwise commuting n-tuples in a compact and connected Lie group G\, de
 noted Hom(Zk\,G). We introduce an infinite dimensional topological space d
 enoted Comm(G)\, reminiscent of a Stiefel variety\, that assembles the spa
 ces Hom(Zk\,G) into a single space. This construction admits stable decomp
 ositions which allow the study of the spaces Hom(Zk\,G) individually\, and
  the Hilbert-Poincare series is also calculated using Molien's theorem. Th
 e cohomology of Comm(G) is given in terms of the tensor algebra generated 
 by the reduced homology of the maximal torus. This is joint work with Fred
  Cohen.
LOCATION:MA 30
STATUS:CONFIRMED
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