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* Princeton Discrete Math Seminar *
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Speaker: Yufei Zhao, MIT
Thursday 17th October, 3:00 in Fine Hall 224.
Title: Equiangular lines with a fixed angle
Solving a longstanding problem on equiangular lines, we determine, for each
given fixed angle and in all sufficiently large dimensions, the maximum
number of lines pairwise separated by the given angle.
A key ingredient is a new result in spectral graph theory: the adjacency
matrix of a connected bounded degree graph has sublinear second eigenvalue
multiplicity.
Joint work with: Zilin Jiang, Jonathan Tidor, Yuan Yao, and Shengtong Zhang
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Next week: Alex Scott
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