This is a working group seminar run by Klaus Mohnke and Chris Wendl on recent developments in symplectic geometry. 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.
We will switch the time of the seminar this semester to Mondays, 13:00-15:00 (c.t.) in room 1.315 at Rudower Chaussee 25. It will occasionally be preempted by the Berlin-Hamburg Symplectic Geometry Seminar.
| Monday April 8, 2019 13:00-15:00 (c.t.) RUD 25, Room 1.315 |
Informal meeting to discuss topics for the semester |
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| Monday April 15, 2019 | Berlin-Hamburg Symplectic Geometry Seminar (in Berlin) |
| Monday April 22, 2019 |
no seminar (holiday) |
| Monday April 29, 2019 13:00-15:00 (c.t.) RUD 25, Room 1.315 |
Speaker: Marc Kegel Topic: Open questions about open books Abstract: In this talk, I would like to survey the close connection between open books and contact structures. Special attention will be paid to some open questions. No previous knowledge about contact structures or open books is assumed. |
| Monday May 6, 2019 13:00-15:00 (c.t.) RUD 25, Room 1.315 |
Speaker: Chris Wendl Topic: Introduction to spinal open books Abstract: Spinal open books are a generalization of open book decompositions in which the binding is replaced by something that may have more nontrivial topology. Just like an open book, a spinal open book on a closed 3-manifold determines a compatible contact structure up to isotopy. My goal in this talk will be to introduce the basic notions and then sketch two applications of a topological nature: (1) the construction of symplectic cobordisms via "spine removal surgery" and resulting proof that certain contact manifolds are not symplectically fillable; (2) a reinterpretation of Bourgeois's classic result that for every contact manifold, the product of that manifold with the 2-torus also admits a contact structure. |
| Monday May 13, 2019 | Berlin-Hamburg Symplectic Geometry Seminar (in Berlin) |
| Monday May 20, 2019 13:00-15:00 (c.t.) RUD 25, Room 1.315 |
Speaker: Mihai Munteanu Topic: Introduction to embedded contact homology |
| Monday May 27, 2019 13:00-15:00 (c.t.) RUD 25, Room 1.315 |
Speaker: Michael Hutchings (Berkeley) Topic: Applications of embedded contact homology |
| Friday May 31, 2019 15:00-16:30 (s.t.!) RUD 25, Room 1.315 |
Speaker: Michael Hutchings (Berkeley) Topic: Applications of embedded contact homology (continued) |
| Monday June 3, 2019 | no seminar |
| Monday June 10, 2019 | no seminar (holiday) |
| Monday June 17, 2019 | Berlin-Hamburg Symplectic Geometry Seminar (in Hamburg) |
| Monday June 24, 2019 13:00-15:00 (c.t.) RUD 25, Room 1.315 |
Speaker: Dingyu Yang Topic: Fukaya category of Landau-Ginzburg models Abstract: I will explain my joint work with Huijun Fan and Wenfeng Jiang in constructing a Fukaya algebra (an algebraic gadget which is a chain complex with higher multiplication) out of a certain holomorphic Morse function on a Kähler manifold. The key points are the use of the Witten equation and a highly non-trivial C0 compactness argument. I will try to make the content as friendly as possible, and not too technical. |
| Monday July 1, 2019 13:00-15:00 (c.t.) RUD 25, Room 1.315 |
Speaker: Fabio Gironella (Renyi Institute) Topic: Aspherical symplectic fillings of 5-dimensional planar Bourgeois contact manifolds Abstract: Starting from a contact structure on an odd-dimensional manifold M together with a supporting open book, Bourgeois '02 gave an explicit recipe to build a contact structure on the product of M with the 2-torus T. After giving an introduction to this construction and explaining the motivations behind the study of its properties, I will sketch a proof of the following result, which is joint work in progress with Jonathan Bowden and Agustin Moreno: given a 3-dimensional contact manifold M with planar supporting open book, the associated Bourgeois contact structure on M x T admits a symplectically-aspherical strong filling if and only if the monodromy of the open book on M is the identity. |
| Monday July 8, 2019 13:00-15:00 (c.t.) RUD 25, Room 1.315 |
Speaker: Dingyu Yang Topic: Fukaya category of Landau-Ginzburg models (continued) |