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SUMMARY:The homotopy fixed point theorem in algebraic K-theory - Marco Sch
 lichting (Warwick)
DTSTART:20111102T141500Z
DTEND:20111102T151500Z
UID:TALK33472@talks.cam.ac.uk
CONTACT:Burt Totaro
DESCRIPTION:It is a classical theorem that the topological real vector bun
 dle\nK-theory\nKO(X) of a space X can be recovered from the simpler comple
 x vector bundle K-\ntheory KU(X). More precisely\, KO(X) is equivalent to 
 the space of homotopy\nfixed points\nof KU(X) under a natural involution.\
 nIn this talk I will explain to what extent the algebraic analogue holds\n
 where real vector bundle K-theory is replaced with higher Grothendieck-Wit
 t\ngroups (aka algebraic hermitian K-theory) and complex vector bundle K-t
 heory\nwith ordinary algebraic K-theory.\nThe proof of our main theorem us
 es a version of the Quillen-Lichtenbaum\nconjecture for hermitian K-theory
  which is of independent interest. This is\njoint work with Berrick\, Karo
 ubi and Ostvaer.
LOCATION:MR13\, CMS
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