An introduction to limit multiplicity property
发布时间：2015年09月24日
浏览次数：8763
发布者:
主讲人： Wen-Wei Li (李文威), Morningside Center of Mathematics, AMSS
活动时间： 从 2015-09-24 14:00 到 16:00
场地： 全29
Time：2015-09-24 14:00-16:00
In classical terms, the limit multiplicity property concerns the asymptotic behavior of the multiplicities in the discrete L^2 spectrum of the automorphic quotient G/Γ, by varying the arithmetic lattice Γ. The result turns out to be related to the Placherel measure of the reductive Lie group G, at least conjecturally. We will take this opportunity to introduce some basic notions about automorphic forms, harmonic analysis, and Arthur-Selberg trace formula. If time permits, I will talk about the works of Sauvageot, Finis, Lapid and Müller, which make crucial use of finer structures of the trace formula.
In classical terms, the limit multiplicity property concerns the asymptotic behavior of the multiplicities in the discrete L^2 spectrum of the automorphic quotient G/Γ, by varying the arithmetic lattice Γ. The result turns out to be related to the Placherel measure of the reductive Lie group G, at least conjecturally. We will take this opportunity to introduce some basic notions about automorphic forms, harmonic analysis, and Arthur-Selberg trace formula. If time permits, I will talk about the works of Sauvageot, Finis, Lapid and Müller, which make crucial use of finer structures of the trace formula.
