Lieu: IHP, amphi Hermite.
The seminar will take place in presence, but will be broadcasted via zoom
https://us02web.zoom.us/j/86751202563?pwd=ZHNKM2c1WllnS1VHakFOeDNVaWRtUT09
10:45 Bingyu Zhang (Grenoble)
On computing of the Chiu-Tamarkin complex.
Abstract:
The Chiu-Tamarkin complex is a cohomology theory of open sets in
cotangent bundles, which is defined using microlocal sheaves. I will
explain its computation on convex toric domains. The value for a
sequence of capacities defined using the Chiu-Tamarkin complex is then
demonstrated using the computation. If time permits, I will go over a recent computation on the unit disk bundle.
14:00 Vincent Colin (Nantes)
On the genericity of Birkhoff sections and topological entropy
for Reeb vector fields in dimension 3.
Abstract: In a joint work with Pierre Dehornoy and Ana Rechtman we proved that in
dimension 3 every nondegenerate Reeb
vector field is carried by a broken book decomposition. Together with
Dehornoy, Hryniewicz and Rechtman, we elaborate on this result to prove
that C1 or C^\infty generically, depending on cases, Reeb vector
fields admit Birkhoff sections. We also obtain the genericity of
topological entropy.
15:45 Benoit Joly (Bochum)
Barcodes for Hamiltonian homeomorphisms of surfaces
Abstract: In this talk, we will study the Floer Homology barcodes from a dynamical
point of view. Our motivation comes from recent results in symplectic
topology using barcodes to obtain dynamical results. We will give the
ideas of new constructions of barcodes for Hamiltonian homeomorphisms of
surfaces using Le Calvez's transverse foliation theory. The strategy
consists in copying the construction of the Floer and Morse Homologies
using dynamical tools like Le Calvez's foliations.
Prochaines séances: 3 décembre (A. Florio, C.-Y. Mak, HDR Zavidovique), 7 janvier (A. Keating, E. Cineli, ?), 4 février (M. Bertelson, ?, ?)
Autre activité symplectique à Paris:
