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BEGIN:VEVENT
SUMMARY:Algebraic models of rational equivariant cohomology theories
DTSTART:20160524T101500
DTEND:20160524T113000
DTSTAMP:20260427T215419Z
UID:b59eda03fc992aaeea5b64c886cfd7e8e1e989527485879d7f3d01da
CATEGORIES:Conferences - Seminars
DESCRIPTION:John Greenlees\n(University of Sheffield)\n(joint work with D.
 Barnes\, M.Kedziorek and B.Shipley).\nFor a compact Lie group G\, G-equiva
 riant cohomology theories are represented by G-spectra\, so the category o
 f cohomology theories and natural transformations is the homotopy category
  of the model category of G-spectra. It is now known for a variety of grou
 ps that the category of rational-G-spectra is Quillen equivalent to differ
 ential graded objects in an abelian category A(G).\nThe talk will summaris
 e the status of the conjecture that this is true for all groups G\, but th
 e emphasis will be on the description of the category A(G) for various dif
 ferent groups G and in various styles. Since a guiding principle says the 
 category of rational-G-spectra is the category of equivariant modules over
  the sphere spectrum S\, we can view this as describing a geometric object
  Proj(S^G).
LOCATION:CM113
STATUS:CONFIRMED
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