Symplectic geometry seminar

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Spring Semester 2024

Date / Time Speaker Title Location
11 March 2024
15:15-16:30
Xiuxong Chen
SUNY Stony Brook USA and ShanghaiTech University China
Event Details

Symplectic Geometry Seminar

Title Title T.B.A.
Speaker, Affiliation Xiuxong Chen, SUNY Stony Brook USA and ShanghaiTech University China
Date, Time 11 March 2024, 15:15-16:30
Location HG G 43
Title T.B.A. (CANCELLED)
HG G 43
25 March 2024
15:15-16:30
Jean-Philippe Chassé
ETH Zürich
Event Details

Symplectic Geometry Seminar

Title The metric geometry of geometrically bounded Lagrangians
Speaker, Affiliation Jean-Philippe Chassé, ETH Zürich
Date, Time 25 March 2024, 15:15-16:30
Location 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
Event Details

Symplectic Geometry Seminar

Title Asymptotics of link spectral invariants
Speaker, Affiliation Sobhan Seyfaddini, University of Paris-Saclay
Date, Time 8 April 2024, 15:15-16:30
Location 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 May 2024
14:00-15:00
Valentin Bosshard
ETH Zürich
Event Details

Symplectic Geometry Seminar

Title TBA. NOTE SPECIAL TIME!
Speaker, Affiliation Valentin Bosshard, ETH Zürich
Date, Time 13 May 2024, 14:00-15:00
Location HG G 43
TBA. NOTE SPECIAL TIME!
HG G 43
* 21 May 2024
15:00-15:50
Katrin Wehrheim
UC Berkeley
Event Details

Symplectic Geometry Seminar

Title TBA. NOTE SPECIAL DAY and TIME, and SPECIAL ROOM!
Speaker, Affiliation Katrin Wehrheim, UC Berkeley
Date, Time 21 May 2024, 15:00-15:50
Location HG F 26.3
TBA. NOTE SPECIAL DAY and TIME, and SPECIAL ROOM!
HG F 26.3
* 21 May 2024
16:00-16:50
Nathaniel Bottman
Max Planck Institute for Mathematics, Bonn
Event Details

Symplectic Geometry Seminar

Title TBA. NOTE SPECIAL DAY and TIME, and SPECIAL ROOM!
Speaker, Affiliation Nathaniel Bottman, Max Planck Institute for Mathematics, Bonn
Date, Time 21 May 2024, 16:00-16:50
Location HG F 26.3
TBA. NOTE SPECIAL DAY and TIME, and SPECIAL ROOM!
HG F 26.3
* 23 May 2024
15:00-16:00
Agustin Moreno
Heidelberg University
Event Details

Symplectic Geometry Seminar

Title Symplectic structures from almost symplectic structures. NOTE SPECIAL DAY and TIME, and SPECIAL ROOM!
Speaker, Affiliation Agustin Moreno, Heidelberg University
Date, Time 23 May 2024, 15:00-16:00
Location 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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