报告人: 刘昇吉 (Washington State University)

题  目: The distribution of integral points on homogeneous varieties

时  间: 2017.05.31 (周三) 下午15:00 – 16:30

地  点: 理科楼407室

摘  要:

    In this talk we will give a broad overview of the Linnik problems concerning the equidistribution of integral points on homogeneous varieties. One particular example concerns the Heegner points, which are roots in the complex upper-half plane of certain quadratic forms. We will discuss certain “sparse” equidistribution problems concerning these points and give an application of an analog of Linnik’s famous theorem on the first prime in an arithmetic progression. The resolution of these problems involves a wide-range of techniques concerning modular forms and their associated L-functions. This is joint work with Riad Masri and Matt Young.

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.