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SUMMARY:Homotopical Lagrangian Monodromy - Noah Porcelli\, Cambridge
DTSTART:20220309T160000Z
DTEND:20220309T170000Z
UID:TALK170972@talks.cam.ac.uk
CONTACT:Henry Wilton
DESCRIPTION:Given a Lagrangian submanifold L in a symplectic manifold X\, 
 a natural question to ask is: what diffeomorphisms f:L -> L can arise as t
 he restriction of a Hamiltonian diffeomorphism of X? \nAssuming L is relat
 ively exact\, we will extend results of Hu-Lalonde-Leclercq about the acti
 on 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). \nThe proof will use various mod
 uli spaces of pseudoholomorphic curves as well as input from string topolo
 gy. While motivated by HLL's Floer-theoretic proof\, we will not encounter
  any Floer theory.
LOCATION:MR13
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