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A log PSS map with applications to Lagrangian embedding questions

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  • UserDan Pomerleano, Imperial
  • ClockWednesday 15 February 2017, 16:00-17:00
  • HouseMR13.

If you have a question about this talk, please contact Ivan Smith .

Viterbo pointed out that distinguished classes in the symplectic cohomology of a Stein manifold X can be used to obstruct the embedding of exact Lagrangian submanifolds into X. We develop a new tool for studying the symplectic cohomology of affine algebraic varieties which allows us to produce classes in the symplectic cohomology of X which satisfy certain algebraic relations. In examples where a conjectural mirror partner to X is known, these classes correspond under mirror symmetry to vector fields which infinitesimally generate a C^* action which dilates a holomorphic volume form. Based upon joint work with Sheel Ganatra.

This talk is part of the Differential Geometry and Topology Seminar series.

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