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SUMMARY:Yusuf Barış Kartal (Princeton University)
DTSTART:20200826T160000Z
DTEND:20200826T173000Z
DTSTAMP:20260422T172218Z
UID:UCGEN/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCGEN/3/">p-
 adic analytic actions on Fukaya categories and iterates of symplectomorphi
 sms</a>\nby Yusuf Barış Kartal (Princeton University) as part of UCGEN -
  Uluslararası Cebirsel GEometri Neşesi\n\n\nAbstract\nA theorem of Bell\
 , Satriano and Sierra state that for a given smooth complex surface $X$ wi
 th an automorphism $\\phi$ the set of natural numbers $n$ such that $Ext^i
 (F\,(\\phi^*)^n(F'))\\neq 0$ is a union of finitely many arithmetic progre
 ssions and finitely many other numbers. Due to homological mirror symmetry
  conjecture\, one can expect a symplectic version of this statement. In th
 is talk\, we will present such a theorem for a class of symplectic manifol
 ds and symplectomorphisms isotopic to identity. The technique is analogous
  to its algebro-geometric counterpart: namely we construct p-adic analytic
  action on a version of the Fukaya category\, interpolating the action of 
 the iterates of the symplectomorphism.\n
LOCATION:https://researchseminars.org/talk/UCGEN/3/
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