Nearly orthogonal vectors

Series
Combinatorics Seminar
Time
Friday, October 19, 2018 - 3:00pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Boris Bukh – Carnegie Mellon University – http://www.borisbukh.org/
Organizer
Lutz Warnke
How can d+k vectors in R^d be arranged so that they are as close to orthogonal as possible? We show intimate connection of this problem to the problem of equiangular lines, and to the problem of bounding the first moment of isotropic measures. Using these connections, we pin down the answer precisely for several values of k and establish asymptotics for all k. Joint work with Chris Cox.