Dear Colleagues,
We are happy to resume the Symplectic Zoominar (CRM-Montréal, Princeton/IAS, Tel Aviv, and Paris) this year.
The first meeting will take place this Friday October 17, 9.15-10.45 am EDT.
Please find below the abstract and title for this meeting.
All information regarding the seminar can be found in the following webpage, which is regularly updated:
ias
Suggestions, nominations, and volunteers (including a title and short abstract) should be sent to Egor Shelukhin at egorshel@gmail.com (with cc to octav.cornea@gmail.com).
If you would like to be removed from the mailing list, send me (or one of the co-organizers listed below) an email. If you know anyone who would like to be added, please also send me an email.
Alternatively, if you would like to be added/removed from the Virtual Symplectic Seminars Google Group click here.
On behalf of the organizers,
Pazit Haim-Kislev
Current Zoominar organizers: Octav Cornea (Montréal), Pazit Haim-Kislev (IAS), Helmut Hofer (IAS), Leonid Polterovich (Tel Aviv), Felix Schlenk (Neuch?tel), Egor Shelukhin (Montréal), Sara Tukachinsky (Tel Aviv), Claude Viterbo (Paris).
------------------------------------------------------------------------------------------------------------------------------------------------------------------
Zoom Link:
(Meeting ID: 856 0595 6971 Password: 175005)
Note that each participant will be required to log in to their Zoom account before joining the meeting.
Oct 17: Michael Hutchings (Berkeley)
Title: Reeb orbits frequently intersecting a symplectic surface
Abstract: Consider a symplectic surface in a three-dimensional contact manifold with boundary on Reeb orbits. We assume that the rotation numbers of the boundary Reeb orbits satisfy a certain inequality, and we also make a technical assumption that the Reeb vector field has a particular "nice" form near the boundary of the surface. We then show that there exist Reeb orbits which intersect the interior of the surface, with a lower bound on the frequency of these intersections in terms of the symplectic area of the surface and the contact volume of the three-manifold. No genericity of the contact form is assumed. The proof uses "elementary" spectral invariants of contact three-manifolds. An application of this result gives a very general relation between mean action and the Calabi invariant for area-preserving surface diffeomorphisms.
--
FROM 202.120.11.*