中科院数学与系统科学研究院
数学研究所
华罗庚数学重点实验室
华罗庚青年数学论坛
综合报告
报告人： Xue Hang（The University of Arizona）
题 目：Omnipresence of restriction problems
时 间：2019.07.09（星期二），09:30-10:30
地 点：数学院南楼N224室
Abstract : Restriction problem is one of the basic problems in representation theory. It studies the decomposition of an irreducible representation of a group when restricted to a subgroup. In the colloquium, I will explain this problem in various context and its connection with number theory and invariant harmonic analysis. In later talks, I will exploit a particular case of the restriction problem: restriction from GL_{2n} to GL_n \times GL_n, and its nonsplit variant. The main theorem is a relation between this restriction problem and the local root numbers. I will end with a potential application to the study of the canonical factorization of linear periods.
