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Graduate Seminar

Chris Cox
Carnegie Mellon University
Title: You just have to look at it from the right angle

Abstract: In this talk, we'll look at a couple fun problems involving collections of vectors with certain restrictions on the possible angles among them. Depending on time, we'll explore the following problems:

1. How many vectors can there be in $\mathbb{R}^d$ if among any three of them, there are two which are orthogonal?

2. How many lines passing through origin can there be in $\mathbb{R}^d$ if all pairs cross at the same angle?

3. How closely to orthogonal can $d+k$ vectors be arranged in $\mathbb{R}^d$.

Date: Tuesday, October 10, 2017
Time: 5:30 pm
Location: Wean Hall 8220
Submitted by:  Yangxi Ou
Note: Video on YouTube: https://youtu.be/UCMIhascnbs