EVENT DETAILS AND ABSTRACT

Title: Introduction to symplectic embedding problems and symplectic capacities
Speaker: Kyler Siegel
Speaker Info: Columbia University
Brief Description: Pre-talk
Special Note:
Abstract:

A basic problem in symplectic geometry is to determine what types of symplectic embeddings are possible. The first nontrivial result is Gromov's celebrated nonsqueezing theorem, which puts fundamental constraints on symplectic transformations beyond volume considerations. Since then, various finer obstructions have been discovered and formalized into the notion of a symplectic capacity. In this talk I will discuss some toy problems (still largely open), survey key results, and highlight the significance of Floer homology and symplectic field theory.