Mathematical Sciences - Discrete Mathematics Seminar - "Saturated equiangular lines in Euclidean space" by Wei-Hsuan Yu (ICERM at Brown University) - Stratton Hall 203

Thursday, February 01, 2018
10:00 am to 10:50 am

Location:

Floor/Room #: 
203

Discrete Mathematics Seminar Series

Wei-Hsuan Yu
ICERM at Brown University

Saturated equiangular lines in Euclidean space

ABSTRACT:  A set of lines through the origin in a Euclidean space is called equiangular when any pair of lines from the set intersects with each other at a common angle. We study the maximum size of equiangular lines in Euclidean space and use a graph-theoretic approach to prove that all the currently best known constructions in d-dimensional Euclidean space cannot be extended to form a larger equiangular set of lines for the cases d=14, 16, 17, 18, 19 and 20.