Speaker: Lev Buhovski (Weizmann institute and Tel Aviv university)

Title: Nodal count via topological persistence

Abstract:
It is possible to measure oscillations of a function by means of the theory of persistence modules and barcodes. I will explain how Sobolev norms can control such measurements. Applications include generalizations of Courant's nodal domain theorem and Bezout's theorem. The talk is based on a joint work with Jordan Payette, Iosif Polterovich, Leonid Polterovich, Egor Shelukhin, and Vukašin Stojisavljević, as well as on a joint work with Aleksandr Logunov and Mikhail Sodin. No prior knowledge of spectral geometry and topological persistence will be assumed.

Zoom link: https://huji.zoom.us/j/88091075385?pwd=Q2IxRDBiYVY5Z2dFSEMvNjRMcWdYZz09