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SUMMARY:Karoubi-Grothendieck-Witt spectra - Fabian Hebestreit (University 
 of Aberdeen)
DTSTART:20230614T104500Z
DTEND:20230614T114500Z
UID:TALK199918@talks.cam.ac.uk
DESCRIPTION:jt with B.Calm&egrave\;s\, E.Dotto\, Y.Harpaz\, K.Moi\, M.Land
 \, D.Nardin\, T.Nikolaus and W.Steimle\nI will explain an analogue of the 
 fundamental fibre sequence relating connective K-\, Grothendieck-Witt- and
  L-spectra that involves non-connective K-theory and the Karoubi-Grothendi
 eck-Witt-spectra of the title. It is this version of Grothendieck-Witt spe
 ctra that satisfy Zariski (even Nisnevich) descent\, and as part of the id
 entification of the appropriate version of L-spectra\, I will give a unifi
 cation of the Bass-Heller-Swan and Shaneson splittings in K- and L-theory\
 , respectively\, that also allows for the computation of Grothendieck-Witt
  groups of Laurent polynomial rings.
LOCATION:Seminar Room 1\, Newton Institute
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