Departement Mathematik

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Symplectic geometry seminar

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Frühjahrssemester 2025

Datum / Zeit Referent:in Titel Ort
24. Februar 2025
15:15-16:30 		Erman Çineli
ETH
Details

Symplectic Geometry Seminar

Titel Closed orbits of dynamically convex Reeb flows
Referent:in, Affiliation Erman Çineli, ETH
Datum, Zeit 24. Februar 2025, 15:15-16:30
Ort HG G 43
Abstract In this talk we will discuss two results on the multiplicity problem for prime closed orbits of dynamically convex Reeb flows on the boundary of a star-shaped domain in R2n. The first result asserts that such a flow has at least n prime closed Reeb orbits, improving the previously known lower bound by a factor of two. The second main theorem is that when, in addition, the domain is centrally symmetric and the Reeb flow is non-degenerate, the flow has either exactly n or infinitely many prime closed orbits. This is a joint work with Basak Gurel and Viktor Ginzburg.
Closed orbits of dynamically convex Reeb flowsread_more
HG G 43
3. März 2025
15:15-16:30 		Felix Schlenk
Neuchâtel University
Details

Symplectic Geometry Seminar

Titel Singular polarizations of open symplectic 4-manifolds, with applications
Referent:in, Affiliation Felix Schlenk, Neuchâtel University
Datum, Zeit 3. März 2025, 15:15-16:30
Ort HG G 43
Abstract Twenty five years ago, Paul Biran introduced polarizations of closed symplectic manifolds and showed that their Lagrangian skeleta exhibit remarkable rigidity properties. He in particular found that their complements contain only small balls. I will introduce similar polarizations of certain open 4-dimensional symplectic manifolds. This leads to several symplectic embedding results, that in turn lead to new Lagrangian non-removable intersections and a novel phenomenon of Legendrian barriers. For instance, given any connected symplectic 4-manifold $(M,\omega)$ and a 4-ball of smaller volume, their exists an explicit finite union of Lagrangian discs in the 4-ball such that their complement symplectically embeds into~$(M,\omega)$, extending a result by Sackel--Song--Varolgunes--Zhu and Brendel. Other applications are new Lagrangian intersection results and relative versions of the Arnold chord conjecture. The talk will be non-technical and focus on the geometric constructions. This is joint work with Emmanuel Opshtein.
Singular polarizations of open symplectic 4-manifolds, with applicationsread_more
HG G 43
10. März 2025
15:15-16:15 		Rohil Prasad
UC Berkeley
Details

Symplectic Geometry Seminar

Titel Invariant subsets in three-dimensional energy surfaces
Referent:in, Affiliation Rohil Prasad, UC Berkeley
Datum, Zeit 10. März 2025, 15:15-16:15
Ort HG G 43
Abstract The goal of this series of talks is to present a proof, at a higher level of detail than usual, of the following theorem. Let H be any smooth function on R^4 and let Y be any compact and regular level set. Then Y admits an infinite family of proper compact subsets that are invariant under the Hamiltonian flow, which in addition have dense union in Y. This improves on a 2018 result by Fish-Hofer, which showed the existence of one proper invariant subset. Related results were proved jointly with Dan Cristofaro-Gardiner for area-preserving surface diffeomorphisms and 3D Reeb flows. I will mention them if there is time.
Invariant subsets in three-dimensional energy surfaces read_more
HG G 43
17. März 2025
15:15-16:15 		Rohil Prasad
Details

Symplectic Geometry Seminar

Titel Invariant subsets in three-dimensional energy surfaces II
Referent:in, Affiliation Rohil Prasad,
Datum, Zeit 17. März 2025, 15:15-16:15
Ort HG G 43
Abstract The goal of this series of talks is to present a proof, at a higher level of detail than usual, of the following theorem. Let H be any smooth function on R^4 and let Y be any compact and regular level set. Then Y admits an infinite family of proper compact subsets that are invariant under the Hamiltonian flow, which in addition have dense union in Y. This improves on a 2018 result by Fish-Hofer, which showed the existence of one proper invariant subset. Related results were proved jointly with Dan Cristofaro-Gardiner for area-preserving surface diffeomorphisms and 3D Reeb flows. I will mention them if there is time.
Invariant subsets in three-dimensional energy surfaces II read_more
HG G 43
* 18. März 2025
15:15-17:00 		Rohil Prasad
Details

Symplectic Geometry Seminar

Titel Invariant subsets in three-dimensional energy surfaces III
Referent:in, Affiliation Rohil Prasad,
Datum, Zeit 18. März 2025, 15:15-17:00
Ort HG G 19.2
Abstract The goal of this series of talks is to present a proof, at a higher level of detail than usual, of the following theorem. Let H be any smooth function on R^4 and let Y be any compact and regular level set. Then Y admits an infinite family of proper compact subsets that are invariant under the Hamiltonian flow, which in addition have dense union in Y. This improves on a 2018 result by Fish-Hofer, which showed the existence of one proper invariant subset. Related results were proved jointly with Dan Cristofaro-Gardiner for area-preserving surface diffeomorphisms and 3D Reeb flows. I will mention them if there is time.
Invariant subsets in three-dimensional energy surfaces IIIread_more
HG G 19.2
24. März 2025
15:15-16:30 		Laurent Côté
University of Bonn
Details

Symplectic Geometry Seminar

Titel Title T.B.A.
Referent:in, Affiliation Laurent Côté, University of Bonn
Datum, Zeit 24. März 2025, 15:15-16:30
Ort HG G 43
Title T.B.A.
HG G 43
31. März 2025
22:31-23:31 		Umut Varolgunes
Koç University
Details

Symplectic Geometry Seminar

Titel Title T.B.A.
Referent:in, Affiliation Umut Varolgunes, Koç University
Datum, Zeit 31. März 2025, 22:31-23:31
Ort HG G 43
Title T.B.A.
HG G 43
7. April 2025
22:31-23:31 		Maksim Stokic
Details

Symplectic Geometry Seminar

Titel Title T.B.A.
Referent:in, Affiliation Maksim Stokic,
Datum, Zeit 7. April 2025, 22:31-23:31
Ort HG G 43
Title T.B.A.
HG G 43
14. April 2025
22:31-23:31 		Marcelo Alves
University of Antwerp
Details

Symplectic Geometry Seminar

Titel Title T.B.A.
Referent:in, Affiliation Marcelo Alves, University of Antwerp
Datum, Zeit 14. April 2025, 22:31-23:31
Ort HG G 43
Title T.B.A.
HG G 43
5. Mai 2025
15:15-16:15 		Noah Porcelli
Imperial College London, United Kingdom
Details

Symplectic Geometry Seminar

Titel Title T.B.A.
Referent:in, Affiliation Noah Porcelli, Imperial College London, United Kingdom
Datum, Zeit 5. Mai 2025, 15:15-16:15
Ort HG G 43
Title T.B.A.
HG G 43
12. Mai 2025
15:15-16:15 		Filip Broćić
Universität Augsburg, Germany
Details

Symplectic Geometry Seminar

Titel Title T.B.A.
Referent:in, Affiliation Filip Broćić, Universität Augsburg, Germany
Datum, Zeit 12. Mai 2025, 15:15-16:15
Ort HG G 43
Title T.B.A.
HG G 43
19. Mai 2025
15:15-16:30 		Joel Schmitz
Université de Neuchâtel
Details

Symplectic Geometry Seminar

Titel Title T.B.A.
Referent:in, Affiliation Joel Schmitz, Université de Neuchâtel
Datum, Zeit 19. Mai 2025, 15:15-16:30
Ort HG G 43
Title T.B.A.
HG G 43
26. Mai 2025
15:15-16:30 		Fabian Ziltener
Details

Symplectic Geometry Seminar

Titel Title T.B.A.
Referent:in, Affiliation Fabian Ziltener,
Datum, Zeit 26. Mai 2025, 15:15-16:30
Ort HG G 43
Title T.B.A.
HG G 43

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