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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:An Additivity Theorem for cobordism categories\, w
ith applications to Hermitian K-theory - Wolfgang
Steimle (Universität Augsburg)
DTSTART;TZID=Europe/London:20180821T140000
DTEND;TZID=Europe/London:20180821T150000
UID:TALK109030AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/109030
DESCRIPTION:The goal of this talk is to explain that Genauer&#
39\;s computation of the cobordism category with b
oundaries is a precise analogue of Waldhausen'\
;s additivity theorem in algebraic K-theory\, and
to give a new\, parallel proof of both results. Th
e same proof technique also applies to cobordism c
ategories of Poincaré\; chain complexes in t
he sense of Ranicki. Here we obtain that its class
ifying space is the infinite loop space of a non-c
onnective spectrum which has similar properties as
Schlichting'\;s Grothendieck-Witt spectrum whe
n 2 is invertible\; but it turns out that these pr
operties still hold even if 2 is not invertible. T
his talk is partially based on joint work with B.
Calmè\;s\, E. Dotto\, Y. Harpaz\, F. Hebestr
eit\, M. Land\, K. Moi\, D. Nardin and Th. Nikolau
s.
LOCATION:Seminar Room 2\, Newton Institute
CONTACT:INI IT
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