#  Seminar: Yufei Zhao (MIT): "Equiangular Lines and Eigenvalue Multiplicity" 

 



####  calendar\_today Date and Time 

 **April 2, 2024** 

 04:30PM - 05:30PM EDT 

####  pin\_drop Location 

 **Jefferson 256 and Zoom**  



 

 



 

 Zoom link: <https://harvard.zoom.us/j/779283357?pwd=MitXVm1pYUlJVzZqT3lwV2pCT1ZUQT09>  
Passcode: 657361  
Speaker: Yufei Zhao  
Title: 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.  
These results prompted further investigations into spherical codes and spectral graph theory. I will highlight some ongoing work and open problems



 

 



 

 

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