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Symplectic geometry seminar

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Herbstsemester 2024

Datum / Zeit Referent:in Titel Ort
* 23. September 2024
15:15-16:30 		Oliver Edtmair
ETH
Details

Symplectic Geometry Seminar

Titel Systoles of convex energy hypersurfaces
Referent:in, Affiliation Oliver Edtmair, ETH
Datum, Zeit 23. September 2024, 15:15-16:30
Ort HG G 19.1
Note special room!
Abstract Hofer-Wysocki-Zehnder proved that every strictly convex energy hypersurface in R^4 possesses a disk-like global surface of section. They asked whether a systole, i.e. a periodic orbit of least action, must span such a disk-like global surface of section. In my talk, I will give an affirmative answer to this question. Moreover, I will discuss some implications of this result concerning normalized symplectic capacities. This is based on joint work in progress with Abbondandolo and Kang.
Systoles of convex energy hypersurfacesread_more
HG G 19.1
Note special room!
* 30. September 2024
15:15-16:30 		Amanda Hirschi
Sorbonne University, Paris
Details

Symplectic Geometry Seminar

Titel Open Gromov-Witten invariants in genus zero
Referent:in, Affiliation Amanda Hirschi, Sorbonne University, Paris
Datum, Zeit 30. September 2024, 15:15-16:30
Ort HG G 19.1
Note special room!
Abstract In this talk, I will discuss work in progress, joint with Kai Hugtenburg, on defining open Gromov-Witten invariants (in genus zero) for embedded relatively spin Lagrangians in general closed symplectic manifolds. Our definition rests on the construction of a global Kuranishi chart for the relevant moduli spaces and is an invariant of the almost complex structure. We prove a relation between the invariants of Lagrangians related a Lagrangian cobordism. Time permitting, I will also discuss some results in higher genus.
Open Gromov-Witten invariants in genus zeroread_more
HG G 19.1
Note special room!
7. Oktober 2024
15:15-16:30 		Remi Leclercq
Paris-Saclay University, Paris
Details

Symplectic Geometry Seminar

Titel Local exactness of nearby Lagrangians and topological properties of orbits of Lagrangians
Referent:in, Affiliation Remi Leclercq, Paris-Saclay University, Paris
Datum, Zeit 7. Oktober 2024, 15:15-16:30
Ort HG G 43
Abstract The central point of this talk is to present a strategy for proving that Lagrangians which are displaceable by a Hamiltonian diffeomorphism admit a "Weinstein neighborhood of non-displacement", i.e. a neighborhood W of the given Lagrangian L such that if the image of L by a Hamiltonian diffeomorphism is included in W, it must intersect L. When the inclusion of L into M induces the 0-map at the level of first homology groups with real coefficients, this non-displacement property also holds for any Lagrangian included in W which is the image of L by a (non necessarily Hamiltonian) symplectomorphism. In both cases, non-displacement follows directly from "local exactness" of nearby Lagrangians, i.e. the fact that any Lagrangian in the Hamiltonian or symplectic orbit of L, included in W, is exact in W seen as a subset of T*L. I will give several natural examples for which such a neighborhood exists. I will then discuss applications of this line of ideas in terms of the topology of the Hamiltonian orbit of L, and in terms of C^0 symplectic geometry. This is joint work with Jean-Philippe Chassé.
Local exactness of nearby Lagrangians and topological properties of orbits of Lagrangiansread_more
HG G 43
14. Oktober 2024
15:15-16:30 		Joé Brendel
Details

Symplectic Geometry Seminar

Titel Product tori in S^2 x S^2 and Lagrangian packing
Referent:in, Affiliation Joé Brendel,
Datum, Zeit 14. Oktober 2024, 15:15-16:30
Ort HG G 43
Abstract A product torus in S^2 x S^2 is a Lagrangian torus obtained as the product of circles in the factors. The goal of this talk is to give a classification up to symplectomorphisms of such tori and illustrate that interesting things happen in case the symplectic form is non-monotone. Among other applications, we will answer a question about Lagrangian packings posed by Polterovich--Shelukhin. This is partially based on joint work with Joontae Kim.
Product tori in S^2 x S^2 and Lagrangian packingread_more
HG G 43
21. Oktober 2024
15:15-16:30
Details

Symplectic Geometry Seminar

Titel No seminar
Referent:in, Affiliation
Datum, Zeit 21. Oktober 2024, 15:15-16:30
Ort
No seminar
28. Oktober 2024
15:15-16:30 		Adi Dickstein
Tel-Aviv University
Details

Symplectic Geometry Seminar

Titel Symplectic topology and ideal-valued measures
Referent:in, Affiliation Adi Dickstein, Tel-Aviv University
Datum, Zeit 28. Oktober 2024, 15:15-16:30
Ort HG G 43
Abstract In various areas of mathematics there exist "big fiber theorems", these are theorems of the following type: "For any map in a certain class, there exists a 'big' fiber", where the class of maps and the notion of size changes from case to case. We will discuss three examples of such theorems, coming from combinatorics, topology and symplectic topology from a unified viewpoint provided by Gromov's notion of ideal-valued measures. We adapt the latter notion to the realm of symplectic topology, using an enhancement of Varolgunes’ relative symplectic cohomology to include cohomology of pairs. This allows us to prove symplectic analogues for the first two theorems, yielding new symplectic rigidity results. Necessary preliminaries will be explained. The talk is based on a joint work with Yaniv Ganor, Leonid Polterovich and Frol Zapolsky.
Symplectic topology and ideal-valued measures read_more
HG G 43
4. November 2024
15:15-16:30 		Robert Cardona
University of Barcelona
Details

Symplectic Geometry Seminar

Titel Title T.B.A.
Referent:in, Affiliation Robert Cardona, University of Barcelona
Datum, Zeit 4. November 2024, 15:15-16:30
Ort HG G 43
Title T.B.A.
HG G 43
11. November 2024
15:15-16:30
Details

Symplectic Geometry Seminar

Titel No seminar
Referent:in, Affiliation
Datum, Zeit 11. November 2024, 15:15-16:30
Ort
No seminar
18. November 2024
15:15-16:30 		Dylan Cant
Paris-Saclay University, Paris
Details

Symplectic Geometry Seminar

Titel Title T.B.A.
Referent:in, Affiliation Dylan Cant, Paris-Saclay University, Paris
Datum, Zeit 18. November 2024, 15:15-16:30
Ort HG G 43
Title T.B.A.
HG G 43

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