# Research Seminar: Symplectic Geometry (Winter Semester 2021/22)

This is a working group seminar run by Klaus Mohnke, Chris Wendl, and Thomas Walpuski on recent developments in symplectic geometry and related areas. Participants are expected to be familiar with the basics of symplectic geometry, including some knowledge of holomorphic curves and/or Floer-type theories. The seminar is conducted in English.

**Time:** Mondays 13-15 (starting on 2021-10-25)

**Location:** BMS Seminar Room

Moodle page (key: gromov)

For a holomorphic curve in symplectic manifold with Lagrangian boundary conditions, it is not always guaranteed that the curve factors through a branched cover of a simple curve. This is much unlike the case for closed holomorphic curves. Lazzarini, and later Zehmisch, showed that in the case of holomorphic discs in dimension at least 4, one can perturb J so that such a disc does factor through a branched cover of a simple disk. We will talk about these results, and make some observations about the case for higher genus holomorphic curves with Lagrangian boundary conditions.

(Reference: §3 in arXiv:1906.02394)

**Note for new students**: *If you think you might be interested in this seminar
but have neither attended before nor spoken with Profs. Mohnke, Wendl, or Walpuski about it,
it is a good idea to get in touch with one of us ahead of time!*