May 13, 2025
Title: Symplectic capacities and symplectic squeezing (MI talk)
Speaker: Yann Guggisberg
Symplectic capacities are maps taking a symplectic manifold as input and giving a number as output. They may be thought of as measuring devices for symplectic manifolds. They also provide obstructions to the existence of embeddings between symplectic manifolds.
In this talk, I will give a short introduction to symplectic geometry and define symplectic capacities. I will then discuss the following question, which I looked at in my thesis: What information about a given class of symplectic manifolds can be recovered from the capacities?
If time permits, I will also talk about subsets of symplectic manifolds that can be arbitrarily squeezed, meaning that they can be embedded into arbitrarily small balls.