I will discuss an adaptation of Gromov’s ideal-valued measures to symplectic topology. It leads to a unified viewpoint at three ‘big fibre theorems’: the Centerpoint Theorem in combinatorial geometry, the Maximal Fibre Inequality in topology, and the Non-displaceable Fibre Theorem in symplectic topology, and yields applications to symplectic rigidity.
Joint work with Adi Dickstein, Yaniv Ganor, and Frol Zapolsky.
This video is part of the Institute for Advanced Study‘s Symplectic geometry seminar.
