This is a working group seminar run by Klaus Mohnke and Chris Wendl on recent developments in symplectic geometry. It generally runs every semester on Mondays. 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.
The seminar takes place this semester on Mondays, 13:00-15:00 (c.t.) via ZOOM. An e-mail containing the Zoom link was sent out to regular seminar participants on April 16; if you did not receive it but would like to attend the seminar, please send an e-mail to Chris Wendl. If at some point later in the semester we can return to campus, it will take place in room 1.023 (the BMS Seminar Room) at Rudower Chaussee 25.
Note for new students: If you think you might be interested in this seminar but have neither attended before nor spoken with Profs. Mohnke or Wendl about it, it is a good idea to get in touch with one of us ahead of time!
Topic for this semester: For most of the semester (excepting the first week), we will be studying the paper Effect of Legendrian surgery by Bourgeois, Ekholm and Eliashberg, plus some necessary background material on symplectic homology, Weinstein domains and Legendrian contact homology.
| Monday April 20, 2020 13:00-15:00 (c.t.) RUD 25, Room 1.023 |
Speaker: Chris Wendl Topic: Equivariant transversality and wall-crossing Abstract: This will be the talk that I had intended to give at the end of the previous semester but could not due to an injury. I will say whatever I am currently able to say about applications of equivariant transversality ideas to bifurcation theory, i.e. what types of "wall-crossing" phenomena can occur for closed holomorphic curves under generic 1-parameter deformations of the almost complex structure. I may also say something about the analogous problem for closed orbits of Reeb vector fields under 1-parameter deformations of contact forms. Literature: The super-rigidty paper, section 2.4 Whiteboard notes |
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| Monday April 27, 2020 13:00-15:00 (c.t.) RUD 25, Room 1.023 |
Speaker: Alexander Fauck Topic: Overview of symplectic homology (part 1) Whiteboard notes |
| Monday May 4, 2020 13:00-15:00 (c.t.) RUD 25, Room 1.023 |
Speaker: Alexander Fauck Topic: Overview of symplectic homology (part 2) Whiteboard notes |
| Monday May 11, 2020 13:00-15:00 (c.t.) RUD 25, Room 1.023 |
Speaker: Alexander Fauck Topic: Overview of symplectic homology (part 3) Whiteboard notes |
| Monday May 18, 2020 13:00-15:00 (c.t.) RUD 25, Room 1.023 |
Speaker: Alexander Fauck Topic: Overview of symplectic homology (part 4) Whiteboard notes |
| Monday May 25, 2020 13:00-15:00 (c.t.) RUD 25, Room 1.023 |
Speaker: Yoanna Kirilova Topic: Symplectic handles and Weinstein domains |
| Monday June 1, 2020 | NO SEMINAR (holiday) |
| Monday June 8, 2020 13:00-15:00 (c.t.) RUD 25, Room 1.023 |
Speaker: Paramjit Singh Topic: SFT compactness theory and contact homology |
| Monday June 15, 2020 13:00-15:00 (c.t.) RUD 25, Room 1.023 |
Speaker: Felix Schmäschke Topic: Symplectic homology and linearized contact homology Whiteboard notes |
| Monday June 22, 2020 13:00-15:00 (c.t.) RUD 25, Room 1.023 |
Speaker 1: Felix Schmäschke Topic: Symplectic homology and linearized contact homology (continued) Whiteboard notes Speaker 2: Pavel Hájek Topic 2: Moduli spaces and invariants (BEE sections 2-3) slides |
| Monday June 29, 2020 13:00-15:00 (c.t.) RUD 25, Room 1.023 |
Speaker: Klaus Mohnke Topic: The Legendrian homology algebra (BEE section 4) slides |
| Monday July 6, 2020 13:00-15:00 (c.t.) RUD 25, Room 1.023 |
Speaker: Felix Schmäschke Topic: Surgery exact triangles (BEE sections 5-6) Whiteboard notes |
| Monday July 13, 2020 13:00-15:00 (c.t.) RUD 25, Room 1.023 |
Speaker: Felix Nötzel and Marc Kegel Topic: Applications (BEE section 7) slides (Nötzel) Whiteboard notes (Kegel) |