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SUMMARY:Ivan Contreras (Amherst College)
DTSTART:20230412T160000Z
DTEND:20230412T170000Z
DTSTAMP:20260423T053243Z
UID:TQFT/80
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TQFT/80/">Fr
 obenius objects in the category of spans and the symplectic category</a>\n
 by Ivan Contreras (Amherst College) as part of Topological Quantum Field T
 heory Club (IST\, Lisbon)\n\n\nAbstract\nIt is well known that Frobenius a
 lgebras are in correspondence with 2-dimensional TQFTs. In this talk\, we 
 introduce Frobenius objects in any monoidal category\, and in particular i
 n the category where objects are sets and morphisms are spans of sets. We 
 prove the existence of a simplicial set that encodes the data of the Frobe
 nius structure in this category. This serves as a (simplicial) toy model o
 f the Wehrheim–Woodward construction for the symplectic category. This i
 s part of a program that intends to describe\, in terms of category theory
 \, the relationship between symplectic groupoids and topological field the
 ory via the Poisson sigma model. Based on joint work with Rajan Mehta and 
 Molly Keller (Rev. in Math. Phys (34) 10 (2022))\, with Rajan Mehta\, Adel
 e Long and Sophia Marx (https://arxiv.org/abs/2208.14716)\, and ongoing wo
 rk with Rajan Mehta and Walker Stern.\n
LOCATION:https://researchseminars.org/talk/TQFT/80/
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