Gökova Geometry Topology Institute

Date: August 23-24, 2021

Speaker: Joé Brendel (University of Neuchâtel)

Title: Toric symplectic manifolds-I

Abstract: Toric symplectic manifolds are symplectic manifolds with an effective Hamiltonian torus action of maximal dimension. Toric manifolds are distinguished by the property that they can be reconstructed from a combinatorial object called the moment polytope. Thus they are a great playground for symplectic topology and the study of Lagrangian submanifolds, since complicated invariants may be reduced to combinatorial properties of the corresponding moment polytope. In recent years, there has been much interest in a generalization called “almost toric” structures.

In these four lectures, we will introduce these two classes of symplectic manifolds, and use their special structure to study Lagrangian tori and symplectic embedding problems.

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Lecture 1. Monday, August 23 at 6 AM (PT), 9 AM (EDT), 4 PM (TRT)

The Delzant construction

Lecture 2. Tuesday, August 24 at 6 AM (PT), 9 AM (EDT), 4 PM (TRT)

Versal deformations and the Chekanov torus

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Zoom Meeting ID 936 2425 0802

Password To be announced