Topic: Typical Lie Groups and Their Representations

Speaker: Sun Binyong

Abstract: The typical group is a symmetrical group of various metric spaces, including orthogonal groups, symplectic groups, unitary groups and typical groups of quaternions. It is the most common group in mathematics and physics research. The typical group finite dimensional representation theory was established and developed by the outstanding 20th century mathematician Weyl et al. The two most prominent achievements are the classical invariant theory and the classical divergence law. The typical group infinite dimensional representation theory originated from the study of quantum mechanics, but it has become an important tool in the study of number theory. We will give examples of classical invariant theory, classical divergence laws, and their development toward infinite dimensional representation.

Introduction of Speaker: Sun Binyong, Researcher of Academy of Mathematics and Systems Science, Chinese Academy of Sciences, receiving his Ph.D. from the Hong Kong University of Science and Technology in 2004. He has achieved a series of important results in the study of typical lie group representation theory: (1) On the basis of his predecessors' work, he and his collaborators finally completed the proof of the two most basic theories of Theta's theory (Howe's dual guess and Kudla-Rallis's conservation law guess). (2) Together with his collaborators, he finally proved the guess of typical group multiplicity. (3) Proved the non-zero hypothesis that Kazhdan and Mazur proposed in the 1970s that is crucial in the study of L-function arithmetic theory. He has been selected into the "National High-level Personnel of Special Support Program" (Young Talents, Young and Middle-aged Science and Technology Innovation Leaders), and "Hua Luogeng Lead Researcher" of Academy of Mathematics and Systems Science, Chinese Academy of Sciences. He has won the Chen Jiageng Youth Science Award (2014), China Outstanding Young Scientists and Talents Award (2016), the Chinese Academy of Sciences Young Scientist Award (2016), and the National Natural Science Award Second Prize (2018).

Inviter: Hu Xijun, Professor of the School of Mathematics

Time: 16:30-17:30, April 18 (Thursday)

Venue: 924 Conference Hall, Block B of Zhixin Building, Central Campus

Organizer: Mathematics School of Shandong University