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

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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).