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Geometry-Topology Seminar

Thursday, February 9, 2017 - 5:45pm

Denis Auroux

UC Berkeley / IAS


University of Pennsylvania


This is the second of two talks in the Geometry-Topology Seminar today, sponsored jointly with Temple, Bryn Mawr and Haverford.

A basic open problem in symplectic topology is to classify
Lagrangian submanifolds (up to, say, Hamiltonian isotopy) in a given
symplectic manifold.  In recent years, ideas from mirror symmetry have
led to the realization that even the simplest symplectic manifolds (eg.
vector spaces or complex projective spaces) contain many more Lagrangian
tori than previously thought.  We will present some of the recent
developments on this problem, and discuss some of the connections
(established and conjectural) between Lagrangian tori, cluster
mutations, and toric degenerations, that arise out of this story.