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.
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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.