Gökova Geometry Topology Institute

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**Date:** August 25-26, 2021

**Speaker:** Felix Schlenk (University of Neuchâtel)

**Title:** Toric symplectic manifolds-II

**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 3.** Wednesday, August 25 at 6 AM (PT), 9 AM (EDT), 4 PM (TRT)

Almost toric symplectic fibrations


**Lecture 4.** Thursday, August 26 at 6 AM (PT), 9 AM (EDT), 4 PM (TRT)

Three applications (maximal embeddings of ellipsoids, exotic Lagrangian tori, and non-isotopic cube embeddings)

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**Zoom Meeting ID** 992 2975 8990

**Password** To be announced

Gökova Geometry Topology Institute

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