Talk page

Title:
Nodal sets of random spherical harmonics

Speaker:
Mikhail Sodin

Abstract:
Abstract: In the talk I will describe what is known and (mostly) unknown about asymptotic statistical topology and geometry of zero sets of random spherical harmonics of large degree. I plan to discuss (a) several provoking open questions and (b) the first non-trivial lower bound recently obtained with Fedor Nazarov (work in progress) for the variance of the number of connected components of the zero set.

Link:
https://www.ias.edu/video/wef/2017/0217-MikhailSodin