An introduction to limit multiplicity property
Time: 2015-09-24
Published By:
Speaker(s): Wen-Wei Li (李文威), Morningside Center of Mathematics, AMSS
Time: 14:00-16:00 September 24, 2015
Venue: 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.
