Apparaît dans la collection : 2021 - T2 - Symplectic topology, contact topology and interactions

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.