叶扬波：Spectral methods in number theory

学术报告

题目：Spectral methods in number theory
报告人： 叶扬波教授
（The University of Iowa ）

时间：2006年6月4日（星期一 ） 下午 4:00-5:00

地点：首都师范大学数学学院 311教室
摘要:In this talk we will first look at a spectral decomposition of a non-Euclidean Laplace operator and introduce non-holomorphic modular (Maass) forms and their L-functions. This generalizes to spectral
analysis of invariant integral operators which lead to trace formulas and relative trace formulas. These are important techniques for the Langlands functoriality conjecture. A relative trace formula can also be
used to prove a bound on central values of L-functions attached to Maass forms. This talk is introductory and should be accessible to graduate students.