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SUMMARY:The Barr-Beck Theorem in Symplectic Geometry
DTSTART:20220503T101500
DTEND:20220503T111500
DTSTAMP:20260510T054715Z
UID:3e9d4d37bad712dc4d8fccbcb1c635955e4374337f2ef924b1f3740e
CATEGORIES:Conferences - Seminars
DESCRIPTION:Nate Bottman\, Max-Planck-Institut für Mathematik\nThe Barr-B
 eck theorem gives conditions under which an adjunction F -| G is monadic. 
 Monadicity\, in turn\, means that the category on the right can be compute
 d in terms of the data of F and its endomorphism GF. I will present joint 
 work-in-progress with Abouzaid\, in which we consider this theorem in the 
 case of the functors between Fuk(M1) and Fuk(M2) associated to a Lagrangia
 n correspondence L12 and its transpose. These functors are often adjoint\,
  and under the hypothesis that a certain map to symplectic cohomology hits
  the unit\, the hypotheses of Barr-Beck are satisfied. This can be interpr
 eted as an extension of Abouzaid's generation criterion\, and we hope that
  it will be a useful tool in the computation of Fukaya categories.
LOCATION:MA A3 30 https://plan.epfl.ch/?room==MA%20A3%2030
STATUS:CONFIRMED
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