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University of Cambridge > Talks.cam > Differential Geometry and Topology Seminar > Homotopical Lagrangian Monodromy

## Homotopical Lagrangian MonodromyAdd to your list(s) Download to your calendar using vCal - Noah Porcelli, Cambridge
- Wednesday 09 March 2022, 16:00-17:00
- MR13.
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. ## This talk is included in these lists:- All CMS events
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