Analysis Seminar

Stefan SteinerbergerYale University
Designs: points on the sphere, partial differential equations spectral theory and combinatorics

Monday, November 11, 2019 - 2:30pm
Malott 406

Spherical Designs are sets of points on the sphere with the property that the average of a low-degree polynomial over the points is the same as the average on the sphere. They are classical yet full of mysteries; the moment we consider the problem on other manifolds, we run into Analytic Number Theory, PDEs, Spectral Graph Theory and Extremal Combinatorics. I promise many nice pictures and many open problems.