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DTSTAMP:20250916T004540Z
DESCRIPTION:Axiomatic microlocal category\n\nI am going to present a constr
 uction of an infinity stable category associated to a closed symplectic ma
 nifold whose symplectic form has integer periods.  The category looks like
  the Fukaya category of M with coefficients in a certain local system. One
  first defines an infinity category C_{rR} associated to the product of tw
 o symplectic balls B_r times B_R whose objects are (roughly) graphs of sym
 plectomorphic embeddings B_r to B_R and homs are positive isotopies (it is
  defined via listing axioms which characterize it).  We have a composition
  C_{r_1r_2} times C_{r_2r_3} to C_{r_1r_3} so that we have an infinity 2-c
 ategory C whose 0-objects are balls and the category of morphisms between 
 B_r and B_R is C_{rR}.  One has a functor F_M from C to the infinity 2 cat
 egory of infinity categories\, where F_M(B_r) is the category of symplecti
 c embeddings B_r--> M. One also has another functor P between the same inf
 inity categories and one defines the microlocal category on M as hom(P\,F_
 M).\n\n \n\n\n	Seminar Géométrie et topologie/Geometry-Topology\n		PK-5115\, 
 201 ave. Président-Kennedy\, UQAM\n\n
DTSTART:20170911T150000Z
DTEND:20170911T160000Z
SUMMARY:Dmitry Tamarkin\, Northwestern University
URL:/mathstat/channels/event/dmitry-tamarkin-northwest
 ern-university-270233
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