[Theory] Fwd: Colloquium: Yufei Zhao (MIT)

[Alexander Razborov]

Begin forwarded message:

> From: Mat <matwimberly at uchicago.edu>
> Date: March 28, 2022 at 10:09:23 AM CDT
> To: all_math at lists.uchicago.edu
> Subject: Colloquium: Yufei Zhao (MIT)
> Reply-To: Mat <matwimberly at uchicago.edu>
> 
> 
> 
> Yufei Zhao
> (MIT)
> Equiangular Lines and Eigenvalue Multiplicities
>  
> 
> Equiangular Lines and Eigenvalue Multiplicities
> 
> Abstract:
> 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. Here is an open problem that I would like to understand better: what is the maximum possible second eigenvalue multiplicity of a connected bounded degree graph?
> 
> Joint work with Zilin Jiang, Jonathan Tidor, Yuan Yao, and Shengtong Zhang
> 
> Topic: Colloquium: Yufei Zhao (MIT)
> 
> Time: Mar 28, 2022 03:00 PM Central Time (US and Canada)
> 
> Join Zoom Meeting:
> 
> https://uchicago.zoom.us/j/94108130495?pwd=WW0xWnorc3h6djZjeEVTY2V2UFI5dz09
> 
> Meeting ID: 941 0813 0495
> 
> Passcode: 737070
> 
> Join Zoom Meeting
> 
> 
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