**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.