Combinatorics Seminar 2015

Speaker: Eiichi Bannai (坂内英一), Shanghai Jiao Tong University

Date: Sat, Mar 14, 2015

Time: 10:00 - 11:30

Venue: Middle Meeting Room

Title: Spherical designs of harmonic index $t$ and null spherical $t$-designs


Spherical $t$-designs are finite point sets on the sphere satisfying certain good property with respect to the calculation of integrals of polynomials on the sphere.

We start with the very basics on spherical $t$-designs. Then we discuss some generalizations of the concept of spherical $t$-designs, in particular "spherical designs of harmonic index $t$" and "null spherical $t$-designs". We also discuss Fisher type lower bounds for those designs.

This talk will be accessible to a wide audience. To follow the talk, you need not have any prior knowledge on spherical designs or combinatorics.