lien: http://bigbluebutton3.imj-prg.fr/b/cla-jeh-jn7
Vukašin Stojisavljević (Tel Aviv)
Title: Symplectic Banach-Mazur distance and persistence modules
Abstract:
Denote by C_M the space of fiberwise star-shaped domains in the
cotangent bundle of a closed manifold M. C_M can be equipped with a
distance called symplectic Banach-Mazur distance and denoted by d_SBM.
This distance is a non-linear version of the classical Banach-Mazur
distance and is constructed using symplectic embeddings. Our main goal
will be to study the large-scale geometry of the space (C_M,d_SBM). The
main technical ingredient we use is stability of barcodes coming from
filtered symplectic homology, viewed as a persistence module, with
respect to d_SBM. If time permits, I will also discuss applications of
similar methods to stability of closed geodesics with respect to
perturbations of Riemannian metrics. The talk is based on a joint work
with Jun Zhang.
- A noter, le vendredi à 15h15 heure de Paris : Symplectic Zoominar (CRM-Montreal, Princeton/IAS, Tel Aviv, and Paris): https://dms.umontreal.ca/~cornea/Seminar.html
