#  Seminar:Jun Yang (Harvard University): "Limit multiplicities, trace formulas and von Neumann dimensions" 

 



####  calendar\_today Date and Time 

 **September 12, 2023** 

 09:30AM - 09:30AM EDT 

####  pin\_drop Location 

 **Jefferson 453 and Zoom**  



 

 



 

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 Zoom link: <https://harvard.zoom.us/j/779283357?pwd=MitXVm1pYUlJVzZqT3lwV2pCT1ZUQT09>  
Speaker: Jung Yang (Harvard University)  
Title: **Limit multiplicities, trace formulas and von Neumann dimensions**   
Abstract: Given a tower of lattices in a semisimple Lie group G, we will discuss the multiplicity of an irreducible representation of G in the L^2space of functions on the quotients. We apply the Arthur-Selberg trace formulas to consider a bounded family of representations. We will show the limit multiplicities are exactly the von Neumann dimensions if the lattices are uniform or G is SL(n).



 

 



 

 

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