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SUMMARY:Genuine equivariance in the homotopy theory of cyclotomic spectra 
 - Jeremy Hahn (University of Cambridge)
DTSTART:20250514T104500Z
DTEND:20250514T114500Z
UID:TALK230539@talks.cam.ac.uk
DESCRIPTION:In their foundational paper\, Nikolaus--Scholze proved that th
 e category of bounded below genuine cyclotomic spectra is equivalent to th
 e category of bounded below Borel cyclotomic spectra.&nbsp\; In this way\,
  they excised the complications of genuine equivariance from the study of 
 topological cyclic homology.&nbsp\; I will explain joint work with Devalap
 urkar\, Raksit\, and Yuan\, which proposes that genuine equivariance still
  has an essential role to play.&nbsp\; Time permitting\, I may also discus
 s how this perspective interacts with the arithmetic duality of Rognes' ta
 lk or the equivariant motivic categories of Bachmann's talk.
LOCATION:Seminar Room 1\, Newton Institute
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