Symplectic topology, contact topology and interactions, Paris
de
lundi 19 avril 2021 (08:30)
à
vendredi 16 juillet 2021 (19:30)
lundi 19 avril 2021
09:00
Spring School on Symplectic and Contact Topology
Spring School on Symplectic and Contact Topology
09:00 - 17:00
Room: Amphithéatre Darboux
mardi 20 avril 2021
10:00
Spring School on Symplectic and Contact Topology
Spring School on Symplectic and Contact Topology
10:00 - 17:00
Room: Amphithéatre Darboux
mercredi 21 avril 2021
10:00
Spring School on Symplectic and Contact Topology
Spring School on Symplectic and Contact Topology
10:00 - 17:00
Room: Amphithéatre Darboux
jeudi 22 avril 2021
10:00
Spring School on Symplectic and Contact Topology
Spring School on Symplectic and Contact Topology
10:00 - 17:00
Room: Amphithéatre Darboux
vendredi 23 avril 2021
09:00
Spring School on Symplectic and Contact Topology
Spring School on Symplectic and Contact Topology
09:00 - 17:00
Room: Amphithéatre Darboux
samedi 24 avril 2021
dimanche 25 avril 2021
lundi 26 avril 2021
14:00
From Hamiltonian Dynamics to Symplectic Topology (hybrid ENS Paris/CIRM)
From Hamiltonian Dynamics to Symplectic Topology (hybrid ENS Paris/CIRM)
14:00 - 18:00
Room: Amphithéatre Darboux
mardi 27 avril 2021
14:30
From Hamiltonian Dynamics to Symplectic Topology (hybrid ENS Paris/CIRM)
From Hamiltonian Dynamics to Symplectic Topology (hybrid ENS Paris/CIRM)
14:30 - 17:30
Room: Amphithéatre Darboux
mercredi 28 avril 2021
09:00
From Hamiltonian Dynamics to Symplectic Topology (hybrid ENS Paris/CIRM)
From Hamiltonian Dynamics to Symplectic Topology (hybrid ENS Paris/CIRM)
09:00 - 16:00
Room: Amphithéatre Darboux
jeudi 29 avril 2021
14:30
From Hamiltonian Dynamics to Symplectic Topology (hybrid ENS Paris/CIRM)
From Hamiltonian Dynamics to Symplectic Topology (hybrid ENS Paris/CIRM)
14:30 - 17:30
Room: Amphithéatre Darboux
vendredi 30 avril 2021
14:30
From Hamiltonian Dynamics to Symplectic Topology (hybrid ENS Paris/CIRM)
From Hamiltonian Dynamics to Symplectic Topology (hybrid ENS Paris/CIRM)
14:30 - 17:30
Room: Amphithéatre Darboux
samedi 1 mai 2021
dimanche 2 mai 2021
lundi 3 mai 2021
mardi 4 mai 2021
10:00
Courbes holomorphes
Courbes holomorphes
10:00 - 12:00
Room: Amphithéatre Darboux
15:00
Varia
Varia
15:00 - 18:00
Room: Amphithéatre Darboux
mercredi 5 mai 2021
jeudi 6 mai 2021
vendredi 7 mai 2021
10:45
Symplectix
Symplectix
10:45 - 14:45
Room: Amphithéatre Darboux
Contributions
10:45
Compact objects in the Fukaya category and representations of Eliashberg-Chekanov algebra
-
Baptiste Chantraine
(
Université de Nantes
)
13:45
Many real projective spaces are not Liouville fillable
-
Paolo Ghiggini
(
CNRS/Université de Nantes
)
samedi 8 mai 2021
dimanche 9 mai 2021
lundi 10 mai 2021
mardi 11 mai 2021
10:00
Courbes holomorphes
Courbes holomorphes
10:00 - 12:00
Room: Amphithéatre Darboux
mercredi 12 mai 2021
jeudi 13 mai 2021
vendredi 14 mai 2021
samedi 15 mai 2021
dimanche 16 mai 2021
lundi 17 mai 2021
09:00
Advances in Symplectic Topology
Advances in Symplectic Topology
09:00 - 17:00
Room: Amphithéatre Darboux
mardi 18 mai 2021
09:00
Advances in Symplectic Topology
Advances in Symplectic Topology
09:00 - 17:00
Room: Amphithéatre Darboux
mercredi 19 mai 2021
09:00
Advances in Symplectic Topology
Advances in Symplectic Topology
09:00 - 17:00
Room: Amphithéatre Darboux
jeudi 20 mai 2021
09:00
Advances in Symplectic Topology
Advances in Symplectic Topology
09:00 - 17:00
Room: Amphithéatre Darboux
vendredi 21 mai 2021
09:00
Advances in Symplectic Topology
Advances in Symplectic Topology
09:00 - 17:00
Room: Amphithéatre Darboux
samedi 22 mai 2021
dimanche 23 mai 2021
lundi 24 mai 2021
mardi 25 mai 2021
10:30
Courbes holomorphes
Courbes holomorphes
10:30 - 12:30
Room: Amphithéatre Darboux
mercredi 26 mai 2021
jeudi 27 mai 2021
vendredi 28 mai 2021
10:45
Symplectix
Symplectix
10:45 - 14:45
Room: Amphithéatre Darboux
Contributions
10:45
Bi-invariant Lorentz-Finsler structures on the linear symplectic group and contactomorphism group
-
Alberto Abbondandolo
(
Ruhr-University Bochum
)
13:45
A few properties of Besse contact manifolds
-
Marco Mazzucchelli
samedi 29 mai 2021
dimanche 30 mai 2021
lundi 31 mai 2021
mardi 1 juin 2021
10:30
Courbes holomorphes
Courbes holomorphes
10:30 - 12:30
Room: Amphithéatre Darboux
mercredi 2 juin 2021
jeudi 3 juin 2021
vendredi 4 juin 2021
10:45
Symplectix
Symplectix
10:45 - 14:45
Room: Amphithéatre Darboux
Contributions
10:45
Rigidity phenomena in Billiard and Hamiltonian Dynamics
-
Alfonso Sorrentino
(
University of Rome Tor Vergata
)
13:45
Around a Question of Entov-Polterovich-Py
-
Yusuke Kawamoto
(
Ecole Normale Superieure
)
samedi 5 juin 2021
dimanche 6 juin 2021
lundi 7 juin 2021
mardi 8 juin 2021
10:30
Courbes holomorphes
Courbes holomorphes
10:30 - 12:30
Room: Amphithéatre Darboux
mercredi 9 juin 2021
jeudi 10 juin 2021
vendredi 11 juin 2021
10:45
Symplectix
Symplectix
10:45 - 14:45
Room: Amphithéatre Darboux
Contributions
10:45
The genus-one question for open book decomposition
-
Pierre Dehornoy
(
Université Grenoble Alpes
)
13:45
Triangulation and persistence
-
Octav Cornea
(
University of Montreal
)
samedi 12 juin 2021
dimanche 13 juin 2021
lundi 14 juin 2021
mardi 15 juin 2021
10:30
Courbes holomorphes
Courbes holomorphes
10:30 - 12:30
Room: Amphithéatre Darboux
mercredi 16 juin 2021
jeudi 17 juin 2021
vendredi 18 juin 2021
10:45
Symplectix
Symplectix
10:45 - 14:45
Room: Amphithéatre Darboux
Contributions
10:45
Tropical Fukaya Algebras
-
Sushmita Venugopalan
(
Institute of Mathematical Sciences, Chennai
)
13:45
Khovanov homology and the cinquefoil
-
Steven Sivek
samedi 19 juin 2021
dimanche 20 juin 2021
lundi 21 juin 2021
mardi 22 juin 2021
10:30
Courbes holomorphes
Courbes holomorphes
10:30 - 12:30
Room: Amphithéatre Darboux
mercredi 23 juin 2021
jeudi 24 juin 2021
vendredi 25 juin 2021
samedi 26 juin 2021
dimanche 27 juin 2021
lundi 28 juin 2021
mardi 29 juin 2021
15:00
Rabinowitz Floer complex for Lagrangian cobordisms
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Noémie Legout
(
Uppsala university
)
Rabinowitz Floer complex for Lagrangian cobordisms
Noémie Legout
(
Uppsala university
)
15:00 - 16:00
Room: Amphithéatre Darboux
I will define a Floer complex associated to a pair of transverse Lagrangian cobordisms in the symplectization of a contact manifold, by a count of SFT pseudo-holomorphic discs. Then I will show that this complex is endowed with an A_\infty structure. Moreover, I will describe a continuation element in the complex associated to a cobordism L and a small transverse push-off of L.
mercredi 30 juin 2021
jeudi 1 juillet 2021
vendredi 2 juillet 2021
10:45
String topology and self-intersections
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Nancy Hingston
(
College of New Jersey
)
String topology and self-intersections
Nancy Hingston
(
College of New Jersey
)
10:45 - 11:45
Room: Amphithéatre Darboux
String topology studies the algebraic structure of the homology of the free loop space of a manifold. I'll describe joint work with Nathalie Wahl about string topology operations, and about what these operations compute. We have simplified, chain-level definitions for the "loop" or "string" product and coproduct. The new definitions make possible new links between geometry and loop products. For example, If the k-fold coproduct of a homology class X on LM is nontrivial, then every representative of X contains a loop with a (k+1)-fold self-intersection.
13:45
Symplectic cohomology and ideal valued measures
-
Leonid Polterovich
(
Tel Aviv University
)
Symplectic cohomology and ideal valued measures
Leonid Polterovich
(
Tel Aviv University
)
13:45 - 14:45
Room: Amphithéatre Darboux
I will discuss three "big fiber theorems", the Centerpoint Theorem from combinatorics, the Gromov Maximal Fiber Theorem from topology, and the Non-displaceable Fiber Theorem by Entov and myself, from a unified viewpoint provided by Gromov's ideal-valued measures. The latter theory, in the symplectic context, is combined with relative symplectic cohomology developed by Varolgunes, yielding some applications to symplectic rigidity. Necessary preliminaries will be explained. A work in progress with Adi Dickstein, Yaniv Ganor, and Frol Zapolsky.
15:15
Symplectically knotted cubes
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Felix Schlenk
(
Université de Neuchâtel
)
Symplectically knotted cubes
Felix Schlenk
(
Université de Neuchâtel
)
15:15 - 16:15
Room: Amphithéatre Darboux
While by a result of McDuff the space of symplectic embeddings of a closed 4-ball into an open 4-ball is connected, the situation for embeddings of cubes 𝐶4=𝐷2×𝐷2 is very different. For instance, for the open ball 𝐵4 of capacity 1, there exists an explicit decreasing sequence 𝑐1,𝑐2,⋯→1/3 such that for 𝑐<𝑐𝑘 there are at least 𝑘 symplectic embeddings of the closed cube 𝐶4(𝑐) of capacity 𝑐 into 𝐵4 that are not isotopic. Furthermore, there are infinitely many non-isotopic symplectic embeddings of 𝐶4(1/3) into 𝐵4. A similar result holds for several other targets, like the open 4-cube, the complex projective plane, the product of two equal 2-spheres, or a monotone product of such manifolds and any closed monotone toric symplectic manifold. The proof uses exotic Lagrangian tori. This is joint work with Joé Brendel and Grisha Mikhalkin.
samedi 3 juillet 2021
dimanche 4 juillet 2021
lundi 5 juillet 2021
mardi 6 juillet 2021
10:30
Courbes holomorphes
Courbes holomorphes
10:30 - 12:30
Room: Amphithéatre Darboux
mercredi 7 juillet 2021
jeudi 8 juillet 2021
vendredi 9 juillet 2021
10:45
Orbifold Lagrangian Floer theory
-
Kaoru Ono
(
Research Institute for Mathematical Sciences, Kyoto University
)
Orbifold Lagrangian Floer theory
Kaoru Ono
(
Research Institute for Mathematical Sciences, Kyoto University
)
10:45 - 11:45
Room: Amphithéatre Darboux
I will present a set-up for orbifold Lagrangian Floer theory, We introduce the notion of dihedral twisted sectors for Lagrangians, intersections of Lagrangians. Then I explain their role in the construction of Floer theory. It is in collaboration with Bohui Chen and Bai-Ling Wang.
13:45
Non-squeezing of Legendrian knots into neighbourhoods of non-Legendrians and C^0 contactomorphisms
-
Georgios Dimitroglou Rizell
(
Uppsala University
)
Non-squeezing of Legendrian knots into neighbourhoods of non-Legendrians and C^0 contactomorphisms
Georgios Dimitroglou Rizell
(
Uppsala University
)
13:45 - 14:45
Room: Amphithéatre Darboux
We discuss joint work with M. Sullivan where we show that a contactomorphism cannot squeeze some fixed Legendrian knot into an arbitrarily small neighbourhood of a non-Legendrian knot, under the additional constraint that the two knots become isotopic inside the neighbourhood, and that the contact manifold is tight. The techniques used are Giroux's theory of convex surfaces combined with Honda's study of solid tori with convex boundary. A corollary is that a smooth image of a Legendrian under a C^0-contactomorphism is again Legendrian (here tightness is not needed).
samedi 10 juillet 2021
dimanche 11 juillet 2021
lundi 12 juillet 2021
mardi 13 juillet 2021
10:30
Courbes holomorphes
Courbes holomorphes
10:30 - 12:30
Room: Amphithéatre Darboux
15:00
Progress towards new examples of knot-filtered ECH
-
Morgan Weiler
Progress towards new examples of knot-filtered ECH
Morgan Weiler
15:00 - 16:00
Room: Amphithéatre Darboux
Knot-filtered embedded contact homology is an invariant of an elliptic Reeb orbit of any contact form for a given contact structure on a closed, oriented three-manifold. It was introduced in a 2016 paper of Hutchings and enables embedded contact homology (ECH) to recover the Calabi invariant of the return map of a global surface of section of the Reeb vector field. Knot-filtered ECH is an invariant of the contact structure rather than the contact form, so it would be interesting to know what features of the contact structure it records. We will explain work in progress with Jo Nelson towards computing the knot filtered ECH of the right- and left-handed trefoil knots as elliptic orbits for different contact structures on S^3.
mercredi 14 juillet 2021
jeudi 15 juillet 2021
vendredi 16 juillet 2021
15:15
The Floer jungle: 35 years of Floer theory
-
Helmut Hofer
(
Institute for Advanced Study, Princeton
)
The Floer jungle: 35 years of Floer theory
Helmut Hofer
(
Institute for Advanced Study, Princeton
)
15:15 - 16:15
Room: Amphithéatre Darboux