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SUMMARY:Greyson Wesley (Ohio State University)
DTSTART:20261021T150000Z
DTEND:20261021T163000Z
DTSTAMP:20261025T035858Z
UID:tandg/41
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/tandg/41/">U
 nitary TQFTs and higher Hilbert spaces</a>\nby Greyson Wesley (Ohio State 
 University) as part of Topology and Geometry Seminar (Texas\, Kansas)\n\n\
 nAbstract\nRecent work suggests a manifestly unitary construction of highe
 r Hilbert spaces. A key desideratum for higher Hilbert spaces is that they
  are the local data of fully extended unitary (reflection positive) TQFTs.
  "Disk-like" higher categories in the sense of Morrison–Walker are defin
 ed to describe the local data of a fully extended TQFT in the absence of u
 nitarity.  In this talk\, I will introduce a notion of unitary disk-like $
 n$-category meant to capture the local data of a fully extended unitary TQ
 FT\, briefly review 2- and 3-Hilbert spaces\, and discuss the equivalence 
 between unitary disk-like $n$-categories and $(n+1)$-Hilbert spaces in the
  cases $n=1$ and $n=2$.\n
LOCATION:https://researchseminars.org/talk/tandg/41/
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