报告人: 刘昇吉 (Washington State University)

题  目: Weyl sums and equidistribution in number theory

时  间: 2017.05.31 (周三) 上午09:00 – 10:30

地  点: 理科楼407室

摘  要:

    In this talk, we will introduce Weyl sums and explain the connection between Weyl sums and equidistribution problems in number theory. We will then discuss various methods for estimating Weyl sums and their applications. In particular, we will give an estimate of quadratic Weyl sums by using the spectral theory of automorphic forms. Such Weyl sums are related to the equidistribution of quadratic roots. This is joint work with Riad Masri.

报告人简介：

    Sheng-Chi Liu received his PhD from The Ohio State University in 2009. Before joining in Washington State University as an assistant professor (tenure track) in 2013, he held a postdoc position in Texas A&M University. His interests mainly lie in number theory and automorphic forms, as well as their interactions. His work has been published in Mathematische Annalen, American Journal of Mathematics, International Mathematics Research Notices, Compositio Mathematica, etc.