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SUMMARY:Lennart Meiert (Universiteit Utrecht)
DTSTART:20210203T083000Z
DTEND:20210203T100000Z
DTSTAMP:20260417T110938Z
UID:OWHHS2021/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWHHS2021/6/
 ">Chromatic localizations of algebraic K-theory.</a>\nby Lennart Meiert (U
 niversiteit Utrecht) as part of Opening Workshop (IRP Higher Homotopy Stru
 ctures 2021\, CRM-Bellaterra)\n\n\nAbstract\nA classic result of Waldhause
 n says essentially that algebraic K-theory preserves rational equivalences
  between connective ring spectra. From the viewpoint of chromatic homotopy
  theory\, rationalization is just the zeroth level of chromatic localizati
 ons. Based on work of Clausen–Mathew–Naumann–Noel we showed in joint
  work with Land\, Mathew and Tamme that in general the $n$-th chromatic le
 vel of the algebraic $K$-theory of a ring spectrum depends only on the $n$
 -th and $(n – 1)$-st chromatic level of the ring spectrum. This has in p
 articular implications for red shift questions in the spirit of Ausoni and
  Rognes.\n
LOCATION:https://researchseminars.org/talk/OWHHS2021/6/
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