Presented by:
Scott Balchin
Date:
Tuesday 2nd October 2018 - 14:00 to 15:00
Venue:
INI Seminar Room 2
Abstract:
The algebraic models for rational G-equivariant
cohomology theories (Barnes, Greenlees, Kedziorek, Shipley) are constructed by
assembling 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.
This style of assembly can be described in a general
fashion using the data contained in the Balmer spectrum of the corresponding
tensor-triangulated categories. We show that given a Quillen model category
whose homotopy category is a suitably well behaved tensor-triangulated
category, that we can construct a Quillen equivalent model from localized p-complete
data at each Balmer prime in an adelic fashion.
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