3:30–4:30 pm
Big Fiber Theorems and Ideal-Valued Measures
Abstract:
In various fields of mathematics one encounters statements of the
following type: For any map in a suitable class there is a point in the
target whose preimage is ``big". This includes the Centerpoint Theorem in
combinatorial geometry, the Maximal Fiber Inequality in topology, and the
Non-Displaceable Fiber Theorem in symplectic topology. I'll present a
unified viewpoint at these results based on Gromov's notion of ideal-valued
measures and its adaptation to symplectic topology. Joint work with Adi
Dickstein, Yaniv Ganor, and Frol Zapolsky.
Event Type
Jan
26