### Nearly orthogonal vectors

- Series
- Combinatorics Seminar
- Time
- Friday, October 19, 2018 - 15:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Boris Bukh – Carnegie Mellon University

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.