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SUMMARY:The unitary cobordism hypothesis [MPIM]
DTSTART:20250109T123000Z
DTEND:20250109T140000Z
DTSTAMP:20260415T102300Z
UID:indico-event-159@math-events.uni-bonn.de
DESCRIPTION:Speakers: Luuk Stehouwer (Dalhousie University)\n\nThe cobordi
 sm hypothesis classifies extended topological quantumfield theories (TQFTs
 ) in terms of algebraic information in the targetcategory. One of the core
  principles in quantum field theory - unitarity -says that state spaces ar
 e not just vector spaces\, but Hilbert spaces.Recently in joint work with 
 many others\, we have defined unitarity forextended TQFTs\, inspired by Fr
 eed and Hopkins. Our main technical tool is ahigher-categorical version of
  dagger categories\; categories $C$ equippedwith a strict anti-involution 
 $\\dagger: C \\to C^{op}$ which is the identityon objects. I explain joint
  work in progress with Theo Johnson-Freyd\,Cameron Krulewski and Lukas Mü
 ller in which we prove a version of thecobordism hypothesis for unitary TQ
 FTs. The main observation is that the\\emph{stably} framed bordism n-categ
 ory is freely generated as a symmetricmonoidal dagger n-category with unit
 ary duals by a single object: the point.\nhttps://www.mpim-bonn.mpg.de/nod
 e/13813\n \n\nhttps://math-events.uni-bonn.de/event/159/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/159/
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