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SUMMARY:Luuk Stehouwer (Dalhousie University)
DTSTART:20250212T160000Z
DTEND:20250212T173000Z
DTSTAMP:20260422T174412Z
UID:tandg/24
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/tandg/24/">T
 he Unitary Cobordism Hypothesis</a>\nby Luuk Stehouwer (Dalhousie Universi
 ty) as part of Topology and Geometry Seminar (Texas\, Kansas)\n\n\nAbstrac
 t\nThe cobordism hypothesis classifies extended topological quantum\nfield
  theories (TQFTs) in terms of algebraic information in the target\ncategor
 y. One of the core principles in quantum field theory - unitarity -\nsays 
 that state spaces are not just vector spaces\, but Hilbert spaces.\nRecent
 ly in joint work with many others\, we have defined unitarity for\nextende
 d TQFTs\, inspired by Freed and Hopkins. Our main technical tool is a\nhig
 her-categorical version of dagger categories\; categories $C$ equipped\nwi
 th a strict anti-involution $\\dagger: C \\to C^{op}$ which is the identit
 y\non objects. I explain joint work in progress with Theo Johnson-Freyd\,\
 nCameron Krulewski and Lukas Müller in which we prove a version of the\nc
 obordism hypothesis for unitary TQFTs. The main observation is that the\n<
 em>stably</em> framed bordism $n$-category is freely generated as a symmet
 ric\nmonoidal dagger $n$-category with unitary duals by a single object: t
 he point.\n
LOCATION:https://researchseminars.org/talk/tandg/24/
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