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SUMMARY:AMS Weekly Seminar w/ Yufei Zhao (MIT) on Zoom
DESCRIPTION:Title: Equiangular lines and eigenvalue multiplicities \nAbstract: 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. My talk will discuss these problems and their connections\, along with extensions and open problems (e.g.\, what is the maximum possible second eigenvalue multiplicity of a connected bounded degree graph?). \nJoint work with Zilin Jiang\, Jonathan Tidor\, Yuan Yao\, and Shengtong Zhang \nHere is the zoom link is: https://wse.zoom.us/j/95448608570
URL:https://engineering.jhu.edu/ams/event/ams-weekly-seminar-w-yufei-zhao-mit-on-zoom/
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