New bounds for spherical two-distance sets and equiangular line sets

Speaker: 
Wei-Hsuan Yu- University of Maryland
Date: 
Apr 9 2014 - 3:00pm
Event type: 
IDeAS
Room: 
110 Fine Hall
Abstract: 

The maximum size of spherical few-distance sets
had been studied by Delsarte at al. in the 1970s. We use the
semidefinite programming method to extend the known results of the
maximum size of spherical two-distance sets in
R^n when n=23 and 40 <= n <= 93 and n \neq 46,
78. We also find the maximum size for equiangular line sets in R^n
when 24 <=n <= 41 and n=43. This provides a partial resolution of the
conjecture set forth by Lemmens and Seidel (1973).