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SUMMARY:Adelic models for Noetherian model categories (joint work with Joh
 n Greenlees) - Scott Balchin (University of Warwick)
DTSTART:20181002T130000Z
DTEND:20181002T140000Z
UID:TALK111157@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:The algebraic models for rational G-equivariant cohomology the
 ories (Barnes\, Greenlees\, Kedziorek\, Shipley) are constructed by assemb
 ling data from each closed subgroup of G. We can compare this to the usual
  Hasse square\, where we see abelian groups being constructed from data at
  each point of Spec(Z) in an adelic fashion.  &nbsp\;  This style of assem
 bly can be described in a general fashion using the data contained in the 
 Balmer spectrum of the corresponding tensor-triangulated categories. We sh
 ow that given a Quillen model category whose homotopy category is a suitab
 ly well behaved tensor-triangulated category\, that we can construct a Qui
 llen equivalent model from localized p-complete data at each Balmer prime 
 in an adelic fashion.  &nbsp\;
LOCATION:Seminar Room 2\, Newton Institute
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