2021 - T2 - Symplectic topology, contact topology and interactions

Collection 2021 - T2 - Symplectic topology, contact topology and interactions

Organizer(s) Colin, Vincent ; Humilière, Vincent ; Massot, Patrick ; Niederkrüger, Klaus ; Oancea, Alexandru ; Vaugon, Anne

Date(s) 19/04/2021 - 16/07/2021

linked URL https://indico.math.cnrs.fr/event/5767/

00:00:00 / 00:00:00

40 45

Symplectic cohomology and ideal valued measures

By Leonid Polterovich

A work in progress with Adi Dickstein, Yaniv Ganor, and Frol Zapolsky.

I will discuss three "big fiber theorems", the Centerpoint Theorem from combinatorics, the Gromov Maximal Fiber Theorem from topology, and the Non-displaceable Fiber Theorem by Entov and myself, from a unified viewpoint provided by Gromov's ideal-valued measures.

The latter theory, in the symplectic context, is combined with relative symplectic cohomology developed by Varolgunes, yielding some applications to symplectic rigidity. Necessary preliminaries will be explained.

Information about the video

Date of recording 02/07/2021
Date of publication 02/07/2021
Institution IHP
Language English
Audience Researchers
Format MP4

Domain(s)

Symplectic Geometry

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