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SUMMARY:Nate Bottman (Max-Planck Institute)
DTSTART:20220504T200000Z
DTEND:20220504T210000Z
DTSTAMP:20260414T173831Z
UID:BUGeom/37
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BUGeom/37/">
 The Barr--Beck theorem in symplectic geometry</a>\nby Nate Bottman (Max-Pl
 anck Institute) as part of Boston University Geometry/Physics Seminar\n\nL
 ecture held in Zoom meeting ID: 953 4652 9200.\n\nAbstract\nThe Barr--Beck
  theorem gives conditions under which an adjunction F -| G is monadic. Mon
 adicity\, in turn\, means that the category on the right can be computed i
 n terms of the data of the category on the left 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) assoc
 iated to a Lagrangian correspondence L12 and its transpose. These functors
  are often adjoint\, and under the hypothesis that a certain map to symple
 ctic cohomology hits the unit\, the hypotheses of Barr--Beck are satisfied
 . This can be interpreted as an extension of Abouzaid's generation criteri
 on\, and we hope that it will be a useful tool in the computation of Fukay
 a categories.\n
LOCATION:https://researchseminars.org/talk/BUGeom/37/
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