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SUMMARY:Equivariant localizing motives for finite groups and applications
DTSTART:20260423T121500Z
DTEND:20260423T131500Z
DTSTAMP:20260426T113500Z
UID:indico-event-116@indico.zdv.uni-mainz.de
DESCRIPTION:Speakers: Kaif Hilman (Uni Bonn)\n\nIn this talk\, I will give
  a proposal for a definition of genuine equivariant lozalizing motives for
  finite groups G. Using isotropy separation arguments on equivariant cubes
  and the recent insights of Ramzi-Sosnilo-Winges\, we use this version of 
 motives to enhance the algebraic K-theory functor with the structure of mu
 ltiplicative norms.\nAmong other things\, we use our results to give a new
  and much simplified proof that K-theory admits polynomial functoriality\,
  first proved in a celebrated paper of Barwick-Glasman-Mathew-Nikolaus. Ti
 me permitting\, we will also discuss other applications such as constructi
 ng an equivariant Dennis trace map and showing that all genuine G-spectra 
 are the K-theory of a G-stable category. This reports on joint work with M
 axime Ramzi.\n\nhttps://indico.zdv.uni-mainz.de/event/116/
LOCATION:05-432 (Hilbertraum)
URL:https://indico.zdv.uni-mainz.de/event/116/
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