U. of Haifa Colloquium 9/3/21


Speaker: Frol Zpolsky (U. of Haifa)

Topic: Big fiber theorems

Place: This is an online seminar. Please email Yuval Ginosar “ginosar at math dot haifa dot ac dot il” for the Zoom ID and password.

Date: Tuesday, March 9, 2021

Time: 14:00

Abstract:  In various fields of mathematics there are theorems of the following sort: any map in a given class has a big fiber. I’ll present examples from topology, combinatorics, and symplectic geometry. It turns out that some of these results in seemingly unrelated areas can be proved using very similar tools. The approach common to the examples I’ll describe is based on Gromov’s notion of ideal-valued measures (IVMs) and their more general analogs arising in symplectic geometry called ideal-valued quasi-measures (IVQMs). No background in symplectic geometry is assumed, and I’ll explain all the notions. The talk is based on work in progress, joint with Adi Dickstein, Yaniv Ganor, and Leonid Polterovich.