11-03【Egor Shelukhin】Persistent homology of eigenfunctions

Time:2022-11-02Views:47

Speaker:  Egor Shelukhin(Universite de Montreal)

Time: 10:00-11:00, Nov 3, 2022

Room: Tencent Meeting: 583-270-686, no password



We discuss recent joint work with Buhovsky, Payette, Polterovich, Polterovich, and Stojisavljevic which proves and applies new results about persistence modules to the study of eigenfunctions of the Laplacian and their linear combinations. In particular we prove coarse versions of the Courant theorem for all Betti numbers and of Bezout theorem in this context.