Symplectic topology, contact topology and interactions, Paris

Session

Séminaire

May 7, 2021, 10:45 AM

Amphithéatre Darboux (IHP)

4. Compact objects in the Fukaya category and representations of Eliashberg-Chekanov algebra

Baptiste Chantraine (Université de Nantes)

5/7/21, 10:45 AM

Let L be a compact Lagrangian in a Weinstein manifold
obtained from a subcritical one by attaching a handle along a Legendrian V. We will see how to associate to L a filling of a satelite of V and how this one induces a representation of the Chekanov-Eliashberg algebra of V. We will show that Legendrian contact homology linearised with respect to this representation recovers the Floer...

5. Many real projective spaces are not Liouville fillable

Paolo Ghiggini (CNRS/Université de Nantes)

5/7/21, 1:45 PM

I will show that the standard contact structure on the real projective spaces RP^{4k+1} is not Liouville fillable using a classical argument on degeneration of moduli spaces of holomorphic spheres. A stronger result has been obtained by Zhengyi Zhou using more algebraic methods. This is a joint work with Klaus Niederküger

6. Bi-invariant Lorentz-Finsler structures on the linear symplectic group and contactomorphism group

Alberto Abbondandolo (Ruhr-University Bochum)

5/28/21, 10:45 AM

7. A few properties of Besse contact manifolds

Marco Mazzucchelli

5/28/21, 1:45 PM

9. Rigidity phenomena in Billiard and Hamiltonian Dynamics

Alfonso Sorrentino (University of Rome Tor Vergata)

6/4/21, 10:45 AM

10. Around a Question of Entov-Polterovich-Py

Yusuke Kawamoto (Ecole Normale Superieure)

6/4/21, 1:45 PM

11. The genus-one question for open book decomposition

Pierre Dehornoy (Université Grenoble Alpes)

6/11/21, 10:45 AM

12. Triangulation and persistence

Octav Cornea (University of Montreal)

6/11/21, 1:45 PM

Mixing triangulation (in the sense of triangulated categories) with persistence (as in persistence modules) leads to a class of interesting pseudo-metrics in a variety of examples: metric spaces, Tamarkin categories, filtered topological spaces, Fukaya
categories. I will discuss some generalities concerning this machinery and how it specifically applies to the symplectic context. The talk is...

13. Tropical Fukaya Algebras

Sushmita Venugopalan (Institute of Mathematical Sciences, Chennai)

6/18/21, 10:45 AM

A multiple cut operation on a symplectic manifold produces a collection of cut spaces, each containing relative normal crossing divisors. We explore what happens to curve count-based invariants when a collection of cuts is applied to a symplectic manifold. The invariant we consider is the Fukaya algebra of a Lagrangian submanifold that is contained in the complement of relative divisors. The...

14. Khovanov homology and the cinquefoil

Steven Sivek

6/18/21, 1:45 PM