"Computations in symplectic geometry" by Luis Diogo
 

Document Type

Lecture

Publication Date

4-28-2016

Abstract

Symplectic manifolds are a generalization of the notion of phase space in classical mechanics. Their study has received a lot of attention in recent years, and they relate to many other areas in mathematics, including dynamics, algebraic geometry and mathematical physics. We will discuss a central tool in symplectic geometry, called Hamiltonian Floer homology. It is quite useful, but also hard to compute, and we will explain how to calculate it in a relevant class of examples. This is joint work with Sam Lisi.

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