- Strom Borman (Stanford, US)
- Baptiste Chantraine (Nantes, France)
- Álvaro del Pino Gómez (Madrid, Spain)
- Yasha Eliashberg (Stanford, US)
- Emmanuel Giroux (ENS Lyon, France)
- Emmy Murphy (MIT, US)
- Klaus Niederkrüger (Toulouse, France)
- Fran Presas (Madrid, Spain)
- Margherita Sandon (Strasbourg, France)
- Ivan Smith (Cambridge, UK)
- Chris Wendl (University College London, UK)
The conference will run from 14th to 16th December, at the Université libre de Bruxelles. Talks will be held in the Salle Solvay, on the 5th floor of building NO, Campus de la Plaine. The building is marked on this map, together with the various public transport stops which serve the campus - the metro station "Delta" (line 5) and buses 71, 72 and 95. Note only roads, and not footpaths are shown on this map, the footpaths appear on this alternative plan of the campus. For more information, contact one of the organisers, Mélanie Bertelson, Frédéric Bourgeois and Joel Fine.
Monday 14th December
9:00-10:00 Yasha Eliashberg. Construction and classification of contact structures, I.
In a series of three lectures we will present a proof of our theorem on construction and classification of overtwisted contact structures on manifolds of all dimensions and discuss some later related results, as in Geometric criteria for overtwistedness by R. Casals, E. Murphy and F. Presas, and Making cobordisms symplectic by Y. Eliashberg and E. Murphy.
- 10:30-11:30 Strom Borman. Construction and classification of contact structures, II.
- 13:30-14:30 Emmy Murphy. Construction and classification of contact structures, III.
16:00 Group trip to the Académie Royal de Belgique. The public session of the Class of Sciences.
At the Royal Academy of Belgium, Borman-Eliashberg-Murphy will be awarded a prize for their breakthrough work on the construction of contact structures.
Tuesday 15th December
9:30-10:30 Fran Presas. Flexibility in Engel geometry, I.
We review some basic properties of Engel structures. The local Lemma of characterization is introduced and proven. Some classical questions are answered, i. e,. the Cartan prolongation of two contact structures homotopic as 2-planes are deformable as Engel structures.
11:00-12:00 Chris Wendl. Tight contact structures on connected sums need not be contact connected sums.
In dimension three, convex surface theory implies that every tight contact structure on a connected sum M # N can be constructed as a connected sum of tight contact structures on M and N. I will explain some examples showing that this is not true in any dimension greater than three. The proof is based on a recent higher-dimensional version of a classic result of Eliashberg about the symplectic fillings of contact manifolds obtained by subcritical surgery. This is joint work with Paolo Ghiggini and Klaus Niederkrüger.
14:00-15:00 Klaus Niederkrüger. Vanishing contact homology for overtwisted manifolds.
The recent classification of overtwisted contact manifolds by Borman, Eliashberg and Murphy raises the question to understand if overtwistedness can be characterized in terms of contact homology. As Bourgeois and van Koert have shown, contact homology vanishes for overtwisted contact structures, but the question of the converse implication is still unsolved (even in dimension 3). An indication that this statement might be false can be found in the discovery of non-loose Legendrians with vanishing contact homology by Ekholm. This is joint work with Frédéric Bourgeois.
15:30-16:30 Ivan Smith. Some large symplectic mapping class groups.
I will outline work in progress, joint with Denis Auroux, which uses Fukaya categorical methods to study the symplectic mapping class groups of some manifolds obtained as symplectic blow-ups along two-dimensional surfaces.
Wednesday 16th December
- 9:30-10:30 Álvaro del Pino Gómez. Flexibility in Engel geometry, II.
We study the natural inclusion map of the space of Engel structures of a 4-manifold into the space of full flags of its tangent space. We prove that the induced maps in homotopy are surjective. This, in particular, shows that any full flag is deformable into the flag associated to an Engel structure.
11:00-12:00 Margherita Sandon Floer homology for translated points.
I will describe a Floer homology theory for translated points of contactomorphisms (work in progress) and, if time permits, some easy applications.
14:00-15:00 Baptiste Chantraine. Positive Legendrian isotopies and Floer theory.
We will discuss several relations between Positive Legendrian isotopies and Floer theory for Lagrangian cylinders in the symplectisation of a contact manifold. We will deduce some obstructions to the existence of some contractible positive loops of "hypertight" Legendrians in some contact manifolds. When such a contractible loop exists I will speculate on how to relate the obstruction of having a well defined differential on the Floer complex to the some notion of "size" of positive isotopies. I will then discuss possible applications to orderability questions and Weinstein conjecture. This is work in progress with V. Colin and G. Dimitroglou Rizell.
- 15:30-16:30 Emmanuel Giroux. Title to be announced
Registration is free, but required in order that we know how many people to plan for. Lunch will be provided to all registered participants. To register, please send an email to Edwine Lukamba, mentioning the days you will attend.
“Be infinitely flexible and constantly amazed”
Jason Kravits, actor.