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X-FROM-URL:https://eom.sdu.dk/events/ical/ebbe6637-2cb7-4194-a35c-14bf248b
 0b6c
X-WR-CALNAME:QM Research Seminar: 2-associahedra and constrainahedra in sy
 mplectic geometry
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TZID:Europe/Copenhagen
X-LIC-LOCATION:Europe/Copenhagen
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DTSTAMP:20260602T163100Z
DTSTART:20261028T030000
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DTSTART:20260325T020000
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DESCRIPTION:[b]Speaker: Nate Bottman[/b] (Max Planck Institute for Mathema
 tics) [nl][nl]\n[b]Abstract:[/b][nl]\nI will present the 2-associahedra\,
  which I constructed in 2017 in the context of symplectic geometry\, and 
 explain some current developments\, focusing on symplectic aspects. First
 \, I will explain how 2-associahedra form the right operadic structure fo
 r endowing the Fukaya category with functoriality properties. Specificall
 y\, the 2-associahedra lead to the notion of the symplectic (A-infinity\,
 2)-category Symp\, which is the natural setting for building functors\, a
 ssociated to Lagrangian correspondences\, between Fukaya categories. Seco
 nd\, I will describe a related family of posets called constrainahedra\, 
 which Daria Poliakova and I constructed in 2022. The constrainahedra also
  translate into an algebraic structure in symplectic geometry: in ongoing
  work with Mohammed Abouzaid and Yunpeng Niu\, we aim to show that Fukaya
  categories of Lagrangian torus fibrations are monoidal A-infinity catego
 ries\, where the latter notion is constructed using of constrainahedra. T
 his will fulfill a longstanding expectation in mirror symmetry.\n[nl]\n[n
 l]
DTEND:20240318T150000Z
DTSTAMP:20260602T163100Z
DTSTART:20240318T140000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
SEQUENCE:0
SUMMARY:QM Research Seminar: 2-associahedra and constrainahedra in symplec
 tic geometry
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