# Video Lectures

### The Floer Jungle: 35 years of Floer Theory

An exceptionally gifted mathematician and an extremely complex person, Floer exhibited, as one friend put it, a "radical individuality." He viewed the world around him with a singularly critical way of thinking and a quintessential disregard for...

Danny Krashen

Akhil Mathew

Phillippe Gille

### Symplectically knotted cubes

Felix Schlenk

While by a result of McDuff the space of symplectic embeddings of a closed 4-ball into an open 4-ball is connected, the situation for embeddings of cubes C4=D2×D2 is very different. For instance, for the open ball B4 of capacity 1, there exists an...

### Reeb flows transverse to foliations

Jonathan Zung

Eliashberg and Thurston showed that taut foliations on 3-manifolds can be approximated by tight contact structures. I will explain a new approach to this theorem which allows one to control the resulting Reeb flow and hence produce many hypertight...

### Lattice formulas for rational SFT capacities of toric domains

Ben Wormleighton

Siegel has recently defined ‘higher’ symplectic capacities using rational SFT that obstruct symplectic embeddings and behave well with respect to stabilisation. I will report on joint work with Julian Chaidez that relates these capacities to algebro...

### Super-rigidity and bifurcations of embedded curves in Calabi-Yau 3-folds

Mohan Swaminathan

I will describe my recent work, joint with Shaoyun Bai, which studies a class of bifurcations of moduli spaces of embedded pseudo-holomorphic curves in symplectic Calabi-Yau 3-folds and their associated obstruction bundles. As an application, we are...

### Tensor Rank

Tensors occur throughout mathematics. Their rank, defined in analogy with matrix rank, is however much more poorly understood, both from a structural and algorithmic viewpoints.

This will be an introductory talk to some of the basic issues...

### On the spatial restricted three-body problem

Agustin Moreno

In his search for closed orbits in the planar restricted three-body problem, Poincaré’s approach roughly reduces to:

1. Finding a global surface of section;
2. Proving a fixed-point theorem for the resulting return map.

This is the setting for the...