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SUMMARY:The h-cobordism category and A-theory - George Raptis (Universitä
 t Regensburg)
DTSTART:20181203T143000Z
DTEND:20181203T153000Z
UID:TALK115246@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:A fundamental link between Waldhausen&#39\;s algebraic K-theor
 y of spaces (A-theory) and manifold topology is given by an identification
  of A-theory in terms of stable  homotopy and the stable smooth h-cobordis
 m space. This important result has had many applications in the study of d
 iffeomorphisms of manifolds. In more recent  years\, the theory of cobordi
 sm categories has provided a different approach to the study of diffeomorp
 hism groups with spectacular applications. In collaboration  with W. Steim
 le \, we revisit the classical Waldhausen K-theory in light of these devel
 opments and investigate new connections and applications. In this talk\, I
  will first  discuss a cobordism-type model for A-theory\, and then I will
  focus on the h-cobordism category\, the cobordism category of h-cobordism
 s between smooth manifolds  with boundary\, and its relationship to the cl
 assical h-cobordism space of a compact smooth manifold. This is joint work
  with W. Steimle.  
LOCATION:Seminar Room 1\, Newton Institute
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