Discrete Geometry: Equidistant Points and Equiangular Lines

Event Date: 

Wednesday, November 6, 2013 - 2:00pm to 3:00pm

Event Location: 

  • 4607B South Hall

Event Contact: 

Michael Dougherty

Email: dougherty@math.ucsb.edu

Speaker: Jon McCammond (UCSB)

Title: Equidistant points and equiangular lines

Abstract: A collection of points is equidistant if all pairs of points in the set are the same distance apart. In euclidean space the maximal equidistant set is roughly the dimension of the space and the same is true in hyperbolic space and in spheres, but surprises happen in projective space.

In this talk we discuss these surprises, prove a general upper bound and discuss three special configurations which achieve this upper bound.