Modul:   MAT075  Zurich Graduate Colloquium

What is... a polynomial structure over a sphere?

Talk by Dr. Mihajlo Cekić

Date: 29.11.22  Time: 16.30 - 18.00  Room:

The main example of a polynomial structure on the unit sphere S^n is a non-constant polynomial map to another sphere S^r. We will discuss the possible values of (n, r) and the related constructions of polynomial structures. As an application, we will exhibit a link with two other apriori unrelated problems: 1) in spectral theory: ``Can one hear the shape of a drum?" for the Bochner (connection Laplacian) and 2) in dynamical systems: ergodicity of certain (partially hyperbolic) systems arising as flows of frames. This is joint work with Thibault Lefeuvre.