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SUMMARY:The unitary cobordism hypothesis\, part 2 [MPIM]
DTSTART:20250116T123000Z
DTEND:20250116T140000Z
DTSTAMP:20260420T150900Z
UID:indico-event-206@math-events.uni-bonn.de
DESCRIPTION:Speakers: Luuk Stehouwer (Dalhousie University)\n\nPhysical Ma
 th Seminar\nThe cobordism hypothesis classifies extended topological quant
 umfield theories (TQFTs) in terms of algebraic information in the targetca
 tegory. One of the core principles in quantum field theory - unitarity -sa
 ys that state spaces are not just vector spaces\, but Hilbert spaces.Recen
 tly in joint work with many others\, we have defined unitarity forextended
  TQFTs\, inspired by Freed 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 o
 bjects. I explain joint work in progress with Theo Johnson-Freyd\,Cameron 
 Krulewski and Lukas Müller in which we prove a version of thecobordism hy
 pothesis for unitary TQFTs. The main observation is that the\\emph{stably}
  framed bordism n-category is freely generated as a symmetricmonoidal dagg
 er n-category with unitary duals by a single object: the point.\n\nhttps:/
 /math-events.uni-bonn.de/event/206/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/206/
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