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SUMMARY: Distinguishing algebraic models for the open symplectic mapping t
 ori - Baris Kartal\, MIT
DTSTART:20181024T131500Z
DTEND:20181024T141500Z
UID:TALK108445@talks.cam.ac.uk
CONTACT:Mark Gross
DESCRIPTION: One can construct \\textbf{the open symplectic mapping torus}
 \n$T_\\phi$ for a given Weinstein manifold $M$ and a compactly supported e
 xact\nsymplectomorphism $\\phi$. $T_\\phi$ is another Weinstein manifold\,
  and its contact boundary is independent of $\\phi$. In this talk\, we wil
 l show how to distinguish $T_\\phi$ from $T_{1_M}$. We first construct an 
 algebraic model- \\textbf{the mapping torus category}- for the (wrapped) F
 ukaya category of\n$T_\\phi$. The construction is inspired by mirror symme
 try for the punctured\ntorus\, and it involves the geometry of the Tate cu
 rve. Then  we will exploit\ndynamics and deformation theory of these algeb
 raic models to show they are not equivalent categories.
LOCATION:CMS MR13
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