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SUMMARY:Matt Young (Utah State University)
DTSTART:20230301T170000Z
DTEND:20230301T180000Z
DTSTAMP:20260423T040115Z
UID:TQFT/77
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/77/">$U
 _q(\\mathfrak{gl}(1 \\vert 1))$ and $U(1 \\vert 1)$ Chern–Simons theory<
 /a>\nby Matt Young (Utah State University) as part of Topological Quantum 
 Field Theory Club (IST\, Lisbon)\n\nLecture held in Room 3.10 (3rd floor\,
  Mathematics Department\, Instituto Superior Técnico).\n\nAbstract\nThe g
 oal of this talk is to explain a concrete instance of the theory of non-se
 misimple TQFT in three dimensions\, as discussed in the talk of Nathan Gee
 r in this seminar on Feb. 22nd\, 2023. I will describe a recent constructi
 on of a TQFT which realizes Chern–Simons theory with gauge supergroup $U
 (1 \\vert 1)$\, as studied in the physics literature by Rozansky–Saleur 
 and Mikhaylov. In particular\, I'll describe various relative modular stru
 ctures on the category of representations of the quantum group of $\\mathf
 rak{gl}(1 \\vert 1)$ which should be seen as non-semisimple analogues of m
 odular tensor categories associated to the quantum representation theory o
 f a simple Lie algebra at a root of unity. Based on joint work with Nathan
  Geer.\n
LOCATION:https://researchseminars.org/talk/TQFT/77/
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