## Lethbridge Number Theory and Combinatorics Seminar: Darcy Best

• Date: 12/02/2013
• Time: 12:00
Lecturer(s):
Darcy Best, University of Lethbridge
Location:

University of Lethbridge

Topic:

Biangular Lines

Description:

A set of unit vectors $V \subset \mathbb{C}^n$ is called {\it biangular} if for any $u,v \in V, u \neq v$, $$|\langle u,v\rangle| \in \left\{0,\alpha\right\}$$ for some $0 < \alpha < 1$. There are well-known upper bounds on the size of these sets of vectors. We will discuss these upper bounds, and the implications when they are met, including the generation of combinatorial objects such as strongly regular graphs and association schemes.

Other Information:
Location: B660 University Hall
Web page: http://www.cs.uleth.ca/~nathanng/ntcoseminar/