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SUMMARY:Dualizability and invertibility in the higher Morita category
DTSTART:20250408T120000Z
DTEND:20250408T130000Z
DTSTAMP:20260505T014600Z
UID:indico-event-13633@indico.math.cnrs.fr
DESCRIPTION:Speakers: Pelle Steffens\n\nBy the cobordism hypothesis\,  sp
 ecfifying a (fully extended) Topological Field Theory (TFT) with target so
 me higher category amounts to providing a sufficiently dualizable object t
 herein. This paradigm allows one to recover\, and generalize\, many import
 ant TFTs of conceptual and physical significance (Crane-Yetter\, Turaev-Vi
 ro\, Reshetikhin-Turaev) whose construction previously relied on explicit 
 combinatorics. The supply of such target higher categories is rather limit
 ed though\; most examples either come as categories of categories\, or as 
 Morita categories of algebras (with bimodules as morphisms)\, and higher v
 ersions thereof. Thus understanding dualizability in these examples is of 
 particular interest to field theorists. I will talk about work in progress
  with Claudia Scheimbauer and Will Stewart that resolves a conjecture of L
 urie characterizing dualizability of an n-dimensional disk algebra\, which
  is an object in the higher Morita (n+1)-category\, in terms of factorizat
 ion homology of that algebra over various handles. As I will explain\, our
  results rely on a new framework of factorization/disk algebras over marke
 d stratified manifolds\, as recently developed by Eilind Karlsson in her t
 hesis.\n\nhttps://indico.math.cnrs.fr/event/13633/
LOCATION:IMT 1R2 207 (Salle Pellos)
URL:https://indico.math.cnrs.fr/event/13633/
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