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SUMMARY:On the K-theory of pullbacks - Markus Land (Universität Regensbur
 g)
DTSTART:20180810T130000Z
DTEND:20180810T140000Z
UID:TALK108895@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:In this talk I will report on joint work with Georg Tamme abou
 t excision results in K-theory and related invariants.  &nbsp\;  We show t
 hat\, associated to any pullback square of E_1 ring spectra\, there is an 
 associated pullback diagram of K-theory spectra in which one of the corner
 s is the K-theory of a new E_1 ring canonically associated to the original
  pullback diagram.   &nbsp\;  I will explain the main ingredients for the 
 proof and then concentrate on simple consequences of this theorem.  These 
 include Suslin&rsquo\;s results on excision (for Tor-unital ideals) and th
 e fact that (what we call) truncating invariants satisfy excision\, nil in
 variance and cdh descent. If time permits I will also discuss how to deduc
 e that in certain cases (bi)relative K-groups are torsion groups of bounde
 d exponent\, improving results of Geisser&mdash\;Hesselholt.
LOCATION:Seminar Room 2\, Newton Institute
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