Symplectic rigidity, flexibility, and embedding problems

Series
Geometry Topology Student Seminar
Time
Wednesday, March 31, 2021 - 2:00pm for 1 hour (actually 50 minutes)
Location
Online
Speaker
Agniva Roy – Georgia Tech
Organizer
Hongyi Zhou

Embedding problems, of an n-manifold into an m-manifold, can be heuristically thought to belong to a spectrum, from rigid, to flexible. Euclidean embeddings define the rigid end of the spectrum, meaning you can only translate or rotate an object into the target. Symplectic embeddings, depending on the object, and target, can show up anywhere on the spectrum, and it is this flexible vs rigid philosophy, and techniques developed to study them, that has lead to a lot of interesting mathematics. In this talk I will make this heuristic clearer, and show some examples and applications of these embedding problems.