Topic:?Rationality of special values of L-functions?

Speaker:?Prof. Binyong Sun, Zhejiang University

Date:?Friday, November 25, 2022

Time:?10:30-11:45

Venue:?W201, Administration Building

Language:?Chinese

Abstract:?

It was known to Euler that ζ(2k) is a rational multiple of?π2k, where ζ is the Euler-Riemann zeta function, and k is a positive integer. Deligne conjectured that similar results hold for much more general L-functions. I will explain some basic concepts concerning L-functions, and give some examples on the rationality of special values of L-functions.

Speaker Profile:

Binyong Sun is a renowned Chinese mathematician and a Member of the Chinese Academy of Sciences (CAS). He is a professor and doctoral supervisor of the Institute for Advanced Study in Mathematics (IASM) at Zhejiang University.

Prof. Sun received his bachelor's degree from Zhejiang University in 1999, and doctorate degree from the Hong Kong University of Science and Technology in 2004. After a short postdoctoral experience at ETH Zürich, he joined AMSS as a research associate in 2005. In 2011, he was promoted to researcher. In 2012, he was selected for China's "Youth Talent Plan". In 2016, he was awarded the Outstanding Youth Science and Technology Talent Award and in 2018, he was awarded the Second Prize in the National Natural Science Award. Prof. Sun was elected as a CAS Member in 2019 and then joined the IASM, Zhejiang University in 2020. In 2022, he was invited to give a 45-minute presentation at the International Congress of Mathematicians.

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

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