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Homotopical Lagrangian Monodromy

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  • UserNoah Porcelli, Cambridge
  • ClockWednesday 09 March 2022, 16:00-17:00
  • HouseMR13.

If you have a question about this talk, please contact Henry Wilton .

Given a Lagrangian submanifold L in a symplectic manifold X, a natural question to ask is: what diffeomorphisms f:L → L can arise as the restriction of a Hamiltonian diffeomorphism of X? Assuming L is relatively exact, we will extend results of Hu-Lalonde-Leclercq about the action of f on the homology of L, and deduce that f must be homotopic to the identity if L is a sphere or K(\pi, 1). The proof will use various moduli spaces of pseudoholomorphic curves as well as input from string topology. While motivated by HLL ’s Floer-theoretic proof, we will not encounter any Floer theory.

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

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King's College, room TBD Downing College, Regent Street, Cambridge, UK Goldsmiths 1, Lecture Theatre, Department of Materials Science & Metallurgy

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