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SUMMARY:An Additivity Theorem for cobordism categories\, with applications
  to Hermitian K-theory - Wolfgang Steimle (Universität Augsburg)
DTSTART:20180821T130000Z
DTEND:20180821T140000Z
UID:TALK109030@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:The goal of this talk is to explain that Genauer&#39\;s comput
 ation of the cobordism category with boundaries is a precise analogue of W
 aldhausen&#39\;s additivity theorem in algebraic K-theory\, and to give a 
 new\, parallel proof of both results. The same proof technique also applie
 s to cobordism categories of Poincar&eacute\; chain complexes in the sense
  of Ranicki. Here we obtain that its classifying space is the infinite loo
 p space of a non-connective spectrum which has similar properties as Schli
 chting&#39\;s Grothendieck-Witt spectrum when 2 is invertible\; but it tur
 ns out that these properties still hold even if 2 is not invertible. This 
 talk is partially based on joint work with B. Calm&egrave\;s\, E. Dotto\, 
 Y. Harpaz\, F. Hebestreit\, M. Land\, K. Moi\, D. Nardin and Th. Nikolaus.
LOCATION:Seminar Room 2\, Newton Institute
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