Nodal sets of random spherical harmonics

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.

Date

Speakers

Mikhail Sodin, Tel Aviv University

Affiliation

Tel Aviv University