Lecture----数学院晨兴数学中心

Title:	Omnipresence of restriction problems
Speaker:	Xue Hang (The University of Arizona)
Time:	2019-7-9, 09:30-10:30
Place:	N224
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.
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