– Europe/Lisbon — Online
Joé Brendel, ETH Zurich.
Knotted bi-disk embeddings.
A classical result by McDuff shows that the space of symplectic ball embeddings into many simple symplectic four-manifolds is connected. In this talk, on the other hand, we show that the space of symplectic bi-disk embeddings often has infinitely many connected components, even for simple target spaces like the complex projective plane, or the symplectic ball. This extends earlier results by Gutt-Usher and Dimitroglou-Rizell. The proof uses almost toric fibrations and exotic Lagrangian tori. Furthermore, we will discuss natural quantitative questions arising in this context. This talk is based on joint work in progress with Grigory Mikhalkin and Felix Schlenk.