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Conference  CAST  Contact and Symplectic Topology
Jan 26, 2017 to Jan 28, 2017 Nantes, from January 26th to January 28th Organization board: Baptiste Chantraine, Vincent Colin, Paolo Ghiggini Scientific board: JeanFrançois Barraud, Baptiste Chantraine, Kai Cieliebak, Tobias Ekholm Leclercq
Jan 26, 2017 By using generating functions, Viterbo constructed spectral invariants for Lagrangians of cotangent bundles in 1992. Ten years later, Oh and Schwarz (independently) adapted the construction to Hamiltonian diffeomorphism groups of quite general manifolds thanks to Floer theory. Since then, spectral invariants were defined in various contexts and yielded a great number of applications of different natures. I will tak about joint work with Frol Zapolsky in which we define spectral invariants for monotone Lagrangians and establish the properties which make them such a useful tool. In particular, given a monotone Lagrangian L, I will show how spectral invariants can be seen as functions defined on the universal cover of the product of the set of Lagrangians Hamiltonian isotopic to L and the Hamiltonian diffeomorphism group. Then, I'll show that these functions are Lipschitz with respect to the natural Hofer distance on this space. Naef
Jan 26, 2017 In this talk, I will explain how for a contact manifold the existence of a dynamically convex supporting contact form ensures compactness of Floer moduli spaces and thus allows us to define Rabinowitz Floer homology in a symplectisation. In this setting, the Rabinowitz Floer homology groups give a means to deduce existence results of translated points as introduced by Sandon. This is joint work with Matthias Meiwes. Hutchings
Jan 26, 2017 We show that every nondegenerate contact form on a closed connected threemanifold, such that the associated contact structure has torsion first Chern class, has either two or infinitely many simple Reeb orbits. (By previous work, two simple Reeb orbits are possible only when the threemanifold is a sphere or a lens space.) Joint work with Dan CristofaroGardiner and Dan Pomerleano. 