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SUMMARY:The tensor triangular geometry of functor categories - Gregory Aro
 ne (Stockholm University)
DTSTART:20250520T143000Z
DTEND:20250520T153000Z
UID:TALK231109@talks.cam.ac.uk
DESCRIPTION:We consider the (infinity) category of excisive (aka polynomia
 l) functors from Spectra to Spectra. Understanding this category is a basi
 c problem in functor calculus. We will approach it from the perspective of
  tensor triangular geometry. Day convolution equips the category of excisi
 ve functors with the structure of a rigid monoidal triangulated category. 
 We describe completely the Balmer spectrum of this category\, i.e.\, its s
 pectrum of prime tensor ideals. This leads to a Thick Subcategory Theorem 
 for excisive functors. There is a rather far-reaching analogy between the 
 category of excisive functors and the category of G-spectra that informs t
 his project. Joint with Tobi Barthel\, Drew Heard and Beren Sanders.
LOCATION:Seminar Room 2\, Newton Institute
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