Combinatorics Seminar 2017

Speaker: Ziqing Xiang (向子卿), University of Georgia

Date: Mon, May 29, 2016

Time: 16:00 - 17:00

Venue: Middle Meeting Room

Title: An explicit construction of spherical designs


It is well known that we could construct spherical designs inductively if we could find designs on Gegenbauer intervals (intervals with Gegenbauer weights). It turns out that it suffices to find rational-weighted designs on Gegenbauer intervals. In this talk, I will first give an explicit construction of such designs, and then apply a modified version of the well-known construction to build spherical designs explicitly.