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SUMMARY:Baris Kartal
DTSTART:20200804T140000Z
DTEND:20200804T150000Z
DTSTAMP:20260423T021227Z
UID:Freemath/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Freemath/14/
 ">p-adic analytic actions on the Fukaya category and iterates of  symplect
 omorphisms</a>\nby Baris Kartal as part of Free Mathematics Seminar\n\n\nA
 bstract\nA theorem of J. Bell states that given a complex affine \nvariety
  $X$ with an automorphism $\\phi$\, and a subvariety $Y\\subset \nX$\, the
  set of numbers $k$ such that $\\phi^k(x)\\in Y$ is a union of \nfinitely 
 many arithmetic progressions and finitely many numbers. \nMotivated by thi
 s statement\, Seidel asked whether there is a \nsymplectic analogue of thi
 s theorem. In this talk\, we give an answer \nto a version of this questio
 n in the case $M$ is monotone\, \nnon-degenerate and $\\phi$ is symplectic
 ally isotopic to identity. The \nmain tool is analogous to the main tool i
 n Bell's proof: namely we \ninterpolate the powers of $\\phi$ by a p-adic 
 arc\, constructing an \nanalytic action of $\\mathbb{Z}_p$ on the Fukaya c
 ategory.\n
LOCATION:https://researchseminars.org/talk/Freemath/14/
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