华罗庚青年数学论坛报告

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

摘  要: 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.

------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

报告人：Xue Hang（The University of Arizona）

题  目：linear models and local root numbers

时  间：2019.07.09（星期二），14:00-15:00、15 :15-16 :15

地  点：晨兴中心610室

摘  要: 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. 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.