Departement Mathematik

Symplectic geometry seminar

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Frühjahrssemester 2024

Datum / Zeit Referent:in Titel Ort
11. März 2024
15:15-16:30 		Xiuxong Chen
SUNY Stony Brook USA and ShanghaiTech University China
Details

Symplectic Geometry Seminar

Titel Title T.B.A.
Referent:in, Affiliation Xiuxong Chen, SUNY Stony Brook USA and ShanghaiTech University China
Datum, Zeit 11. März 2024, 15:15-16:30
Ort HG G 43
Title T.B.A. (ABGESAGT)
HG G 43
25. März 2024
15:15-16:30 		Jean-Philippe Chassé
ETH Zürich
Details

Symplectic Geometry Seminar

Titel The metric geometry of geometrically bounded Lagrangians
Referent:in, Affiliation Jean-Philippe Chassé, ETH Zürich
Datum, Zeit 25. März 2024, 15:15-16:30
Ort HG G 43
Abstract There are many natural metrics that one can put on the collection of all exact (closed connected) Lagrangians of a given Liouville manifold: Lagrangian Hofer metric, spectral metric, shadow metric, etc. However, in most instances, the known properties of the ensuing metric space are quite limited, as these spaces tend to be quite unruly. For this reason, I have previously studied the subspace of Lagrangians respecting an appropriate notion of "geometric boundedness"—a much more manageable space as it turns out. In this talk, I will present some new results on the metric properties in this smaller space of geometrically bounded Lagrangians, where all these metrics behave essentially the same. As applications, we will get some yet-unknown topological properties of the space of all exact Lagrangians of a Liouville manifold.
The metric geometry of geometrically bounded Lagrangiansread_more
HG G 43
8. April 2024
15:15-16:30 		Sobhan Seyfaddini
University of Paris-Saclay
Details

Symplectic Geometry Seminar

Titel Asymptotics of link spectral invariants
Referent:in, Affiliation Sobhan Seyfaddini, University of Paris-Saclay
Datum, Zeit 8. April 2024, 15:15-16:30
Ort HG G 43
Abstract I’ll discuss the connection between (sub)leading asymptotics of the Floer theoretic link spectral invariants and the classical Calabi and Ruelle invariants along with their connections to the algebraic structure of conservative homeomorphism groups. Based on joint joint works with Cristofaro-Gardiner, Humilière, Mak and Smith.
Asymptotics of link spectral invariantsread_more
HG G 43
* 13. Mai 2024
14:00-15:00 		Valentin Bosshard
ETH Zürich
Details

Symplectic Geometry Seminar

Titel Lagrangian cobordisms in Liouville manifolds. NOTE SPECIAL TIME!
Referent:in, Affiliation Valentin Bosshard, ETH Zürich
Datum, Zeit 13. Mai 2024, 14:00-15:00
Ort HG G 43
Abstract The structure of a topological space can be studied by the existence of simplices and their relations. An important topic in Symplectic Geometry is understanding intersections of Lagrangian submanifolds. The Fukaya category of a symplectic manifold categorifies this intersection theory. Biran and Cornea proved that Lagrangian cobordisms induce exact simplices in the Fukaya category of certain compact Lagrangian submanifolds in certain symplectic manifolds. In this talk, we transfer this result to include certain non-compact Lagrangian submanifolds. The second part discusses how many exact simplices can be recovered by Lagrangian cobordisms. One way to measure this is by comparing the Lagrangian cobordism group to the Grothendieck group of the Fukaya category. We compute the Lagrangian cobordism groups of Weinstein manifolds and get a first example where the two groups do not agree.
Lagrangian cobordisms in Liouville manifolds. NOTE SPECIAL TIME!read_more
HG G 43
* 21. Mai 2024
15:00-15:50 		Katrin Wehrheim
UC Berkeley
Details

Symplectic Geometry Seminar

Titel Building blocks for the symplectic (A_infty,2)-category - part 1. NOTE SPECIAL DAY and TIME, and SPECIAL ROOM!
Referent:in, Affiliation Katrin Wehrheim, UC Berkeley
Datum, Zeit 21. Mai 2024, 15:00-15:50
Ort HG F 26.3
Building blocks for the symplectic (A_infty,2)-category - part 1. NOTE SPECIAL DAY and TIME, and SPECIAL ROOM!
HG F 26.3
* 21. Mai 2024
16:00-16:50 		Nathaniel Bottman
Max Planck Institute for Mathematics, Bonn
Details

Symplectic Geometry Seminar

Titel Building blocks for the symplectic (A_infty,2)-category - part 2. NOTE SPECIAL DAY and TIME, and SPECIAL ROOM!
Referent:in, Affiliation Nathaniel Bottman, Max Planck Institute for Mathematics, Bonn
Datum, Zeit 21. Mai 2024, 16:00-16:50
Ort HG F 26.3
Building blocks for the symplectic (A_infty,2)-category - part 2. NOTE SPECIAL DAY and TIME, and SPECIAL ROOM!
HG F 26.3
* 23. Mai 2024
15:00-16:00 		Agustin Moreno
Heidelberg University
Details

Symplectic Geometry Seminar

Titel Symplectic structures from almost symplectic structures. NOTE SPECIAL DAY and TIME, and SPECIAL ROOM!
Referent:in, Affiliation Agustin Moreno, Heidelberg University
Datum, Zeit 23. Mai 2024, 15:00-16:00
Ort HG F 26.3
Abstract In this talk, we will consider a stabilized version of the fundamental existence problem of symplectic structures (McDuff--Salamon, Problem 1). Given a formal symplectic manifold, i.e. a closed manifold M with a non-degenerate 2-form and a non-degenerate second cohomology class, we investigate when its natural stabilization to M x T^2 can be realized by a symplectic form. We show that this can be done whenever the formal symplectic manifold admits a symplectic divisor. It follows that the product with T^2 of an almost symplectic blow up admits a symplectic form. Another corollary is that if a formal symplectic 4-manifold M, which either satisfies that its positive/negative second betti numbers are both at least 2, or that is simply connected, then M x T^2 is symplectic. For instance (CP^2#CP^2#CP^2)xT^2 is symplectic, even though CP^2#CP^2#CP^2 is not, by work of Taubes. These results follow from a stabilized version of Eliashberg--Murphy's h-principle for symplectic cobordisms, which makes no assumptions on overtwistedness at the boundary. This is joint work with Fabio Gironella, Fran Presas, Lauran Toussaint.
Symplectic structures from almost symplectic structures. NOTE SPECIAL DAY and TIME, and SPECIAL ROOM!read_more
HG F 26.3

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