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SUMMARY:Kevin Walker (Microsoft Station Q)
DTSTART:20230405T160000Z
DTEND:20230405T170000Z
DTSTAMP:20260423T021354Z
UID:TQFT/79
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/79/">Tw
 o approaches to a universal state sum</a>\nby Kevin Walker (Microsoft Stat
 ion Q) as part of Topological Quantum Field Theory Club (IST\, Lisbon)\n\n
 \nAbstract\nI’ll describe two approaches to constructing a universal sta
 te sum. The first approach (arXiv:2104.02101) is more elementary and assum
 es semisimplicity. Special cases of this state sum include Turaev–Viro\,
  Crane–Yetter\, Douglas–Reutter\, the Reshetikhin–Turaev Dehn surger
 y formula (thought of as a state sum)\, Brown–Arf for $\\mathrm{Pin}_-$ 
 2-manifolds\, and Dijkgraaf–Witten. The second approach (joint work with
  David Reutter) is more general and does not assume semisimplicity. If the
 re’s time I’ll sketch a program to use the non-semisimple state sum to
  reproduce a cluster of non-semi-simple 3-manifold invariants due to many 
 different authors (Lyubashenko\, Kuperberg\, Hennings\, ... Geer\, Gainutd
 inov\, Patureau-Mirand\, ... ).\n
LOCATION:https://researchseminars.org/talk/TQFT/79/
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