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SUMMARY:Reconstructing Tensor-Triangulated Categories
DTSTART:20191216T101500
DTEND:20191216T111500
DTSTAMP:20260408T085314Z
UID:d7c095d8d835c409fe1bccb444279f7e9bf3665fdffc61891e09d9ae
CATEGORIES:Conferences - Seminars
DESCRIPTION:Scott Balchin\, University of Warwick\nTensor-triangulated cat
 egories naturally occur in various settings\, for example\, as the derived
  category of a commutative ring\, the category of (possibly equivariant) c
 ohomology theories\, or the stable module category of a Frobenius ring. To
  any such category\, one can assign the so-called Balmer spectrum\, which 
 is a categorification of the Zariski spectrum of a ring. I will report on 
 joint work with J.P.C. Greenlees which provides a machinery to build up th
 e unit object of the category from smaller building blocks. These building
  blocks are formed by taking localised completions of the unit at primes o
 f the Balmer spectrum. Once one has this reconstruction result for the uni
 t object\, various models can be considered which fracture the category in
  question. Not only does this result give an insight into the structure of
  the category\, but it usually provides a convenient setting to do calcula
 tions in.
LOCATION:MA A1 10 https://plan.epfl.ch/?room==MA%20A1%2010
STATUS:CONFIRMED
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