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SUMMARY:Matt Young (Utah State University)
DTSTART:20251112T230000Z
DTEND:20251113T000000Z
DTSTAMP:20260423T024747Z
UID:UtahRTNT/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UtahRTNT/8/"
 >$\\widehat{Z}$-invariants for Lie superalgebras</a>\nby Matt Young (Utah 
 State University) as part of University of Utah Representation Theory / Nu
 mber Theory Seminar\n\nLecture held in LCB 222.\n\nAbstract\nThe goal of t
 his talk is to explain a representation theoretic approach to physicists' 
 so-called $\\widehat{Z}$-invariants of $3$-manifolds\, as introduced by Gu
 kov\, Pei\, Putrov and Vafa in the context of $3$d $\\mathcal{N}=2$ supers
 ymmetric gauge theory. Specifically\, we use the representation theory qua
 ntum supergroups to construct non-semisimple analogues of the modular tens
 or categories Reshetikhin\, Turaev\, Andersen and others. These categories
  can in turn be used to construct quantum invariants of $3$-manifolds\, ce
 rtain limits of which recover the $\\widehat{Z}$-invariants. I will focus 
 on specific examples and will not assume any familiarity with quantum topo
 logy. Based on joint work with Francesco Costantino\, Matthew Harper and A
 dam Robertson.\n
LOCATION:https://researchseminars.org/talk/UtahRTNT/8/
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