Equiangular lines and eigenvalue multiplicity

Abstract: Equiangular lines are configurations of lines in n-dimensional space, all passing through the origin, that pairwise make the same angle. Fix an angle, in high dimensions, what is the maximum number of equiangular lines pairwise separated by the given angle? I will discuss the solution to this problem. A key step is in showing that a connected bounded degree graph has sublinear second eigenvalue multiplicity

quantum computing and informationMathematicsPhysics

Audience: researchers in the topic

Comments: Passcode: 657361

Mathematical Picture Language Seminar