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SUMMARY:Francesco Costantino (University of Toulouse)
DTSTART:20231206T170000Z
DTEND:20231206T180000Z
DTSTAMP:20260423T035906Z
UID:TQFT/96
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/96/">St
 ated skein modules of 3-manifolds and TQFTs</a>\nby Francesco Costantino (
 University of Toulouse) as part of Topological Quantum Field Theory Club (
 IST\, Lisbon)\n\n\nAbstract\nAfter reviewing the definition of stated skei
 n modules for surfaces and 3-manifolds\, I will detail how this recent not
 ion allows us to relate topological constructions (related to cut and past
 e techniques) to algebraic ones (for instance\, braided tensor products of
  algebra objects in braided categories). I will explain how the stated ske
 in algebra of some special surfaces provides a topological description for
  some notable algebras (e.g. the quantised function ring $O_q(\\mathfrak{s
 l}_2)$ or its "transmutation" $BSL_2(q)$). Then I will describe how stated
  skein moduli of 3-manifolds fit into a TQFT framework\, albeit not a comp
 letely standard one. If time permits I will also discuss some unexpected n
 oninjectivity results in dimension 3. This is joint work with Thang Le.\n
LOCATION:https://researchseminars.org/talk/TQFT/96/
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