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SUMMARY:Kevin Walker (Microsoft Station Q)
DTSTART:20230914T160000Z
DTEND:20230914T170000Z
DTSTAMP:20260423T021430Z
UID:TQFT/94
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/94/">Lo
 w-dimensional H-bordism and H-modular TQFTs</a>\nby Kevin Walker (Microsof
 t Station Q) as part of Topological Quantum Field Theory Club (IST\, Lisbo
 n)\n\n\nAbstract\nLet H denote a class of manifolds (such as SO (oriented)
 \, O (unoriented)\, Spin\, Pin+\, Pin-\, manifolds with spin defects\, etc
 .). We define a 2+1-dimensional H-modular TQFT to be one which lives on th
 e boundary of a bordism-invariant 3+1-dimensional H-TQFT. Correspondingly\
 , we define a H-modular tensor category to be a H-premodular category whic
 h leads to a bordism-invariant 3+1-dimensional TQFT. When H = SO\, this re
 produces the familiar Witten-Reshetikhin-Turaev TQFTs and corresponding mo
 dular tensor categories. For other examples of H\, non-zero H-bordism grou
 ps in dimensions 4 or lower lead to interesting complications (anomalies\,
  mapping class group extensions\, obstructions to defining the H-modular t
 heory on all H-manifolds).\n\nPlease note that this is an in-person semina
 r that we will broadcast online. We encourage local participants to join u
 s in room 3.10 of the mathematics building.\n
LOCATION:https://researchseminars.org/talk/TQFT/94/
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