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X-FROM-URL:https://eom.sdu.dk/events/ical/c96c2ff8-7146-440a-8d64-a47df8f9
 290d
X-WR-CALNAME:QM Research Seminar: Calabi-Yau structure on the Chekanov-Eli
 ashberg of a Legendrian sphere
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TZID:Europe/Copenhagen
X-LIC-LOCATION:Europe/Copenhagen
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DTSTAMP:20260602T163027Z
DTSTART:20261028T030000
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DTSTART:20260325T020000
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DESCRIPTION:[b]Speaker: Noémie Legout [/b] (University of Uppsala) [nl]\n[
 b]Abstract:[/b][nl]\nTo a Legendrian submanifold in the contactisation of
  a Liouville domain\, one can associate a differential graded algebra (DG
 A) called the Chekanov-Eliashberg algebra (C-E algebra)\, and from which 
 many Legendrian isotopy invariants are defined. Given any DGA\, it is a h
 ard question to know if it can be the C-E algebra of a Legendrian or not.
  In this talk\, we will give a characterization of the C-E algebra\, name
 ly we show that for a displaceable Legendrian sphere this algebra is a Ca
 labi-Yau DGA. This means that there is a quasi-isomorphism of DG-bimodule
 s between the diagonal bimodule and the inverse dualizing bimodule. In or
 der to prove this\, we define another complex associated to a Legendrian\
 , the Rabinowitz complex\, and show that the acyclicity of this complex i
 mplies the existence of a Calabi-Yau structure. \nIf time permits we will
  briefly talk about a work in progress with Georgios Dimitroglou-Rizell f
 or the case when the Legendrian is not necessarily a sphere. In this case
 \, and under certain hypothesis\, the C-E algebra admits a relative Calab
 i-Yau structure.\n[nl]
DTEND:20230419T120000Z
DTSTAMP:20260602T163027Z
DTSTART:20230419T110000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
SEQUENCE:0
SUMMARY:QM Research Seminar: Calabi-Yau structure on the Chekanov-Eliashbe
 rg of a Legendrian sphere
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