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

Abstract:

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.


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