Some Theorems in the Representation Theory of Classical Lie Groups

Abstract

After introducing some basic notions in the representation theory of classical Lie groups, the speaker will explain three results in this theory: the multiplicity one theorem for classical groups, the conservation relation for local theta correspondence, and the non-vanishing hypothesis at infinity for Rankin-Selberg convolutions. Some relevant or consequent results will also be explained.

About the Speaker

Prof. SUN Binyong received his bachelor's degree in Mathematics from Zhejiang University in 1999 and his doctorate in Mathematics from the Hong Kong University of Science and Technology in 2004. After a short postdoctoral experience at the ETH Zurich, he returned to China in 2005 and worked at the Academy of Mathematics and Systems Science of the Chinese Academy of Sciences. In 2020, he joined the Institute for Advanced Study in Mathematics at Zhejiang University as a permanent member and is currently a Professor there.

Prof. Sun’s research interests include representation theory of Lie groups and the theory of automorphic forms. By proving some long-standing conjectures, he has established several deep and fundamental results for representations of classical groups.

Prof. Sun was an invited speaker at the International Congress of Mathematicians in 2022. He received the Tan Kah Kee Young Scientist Award in 2014, the Outstanding Youth Science and Technology Talent Award in 2016, and the State Natural Science Award (second class) in 2018. In 2019, he was elected as a Member of the Chinese Academy of Sciences. He was awarded the 2024 Future Science Prize in Mathematics and Computer Science for his remarkable contributions to the representation theory of Lie groups.

For Attendees' Attention

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