报告地点:行健楼学术活动室665
报告人简介:
黄炳荣,山东大学教授、博导,国家级青年人才。主要从事解析数论、自守形式和L-函数以及算术量子混沌理论的研究。先后在J. Eur. Math. Soc., Trans. Amer. Math. Soc., Math. Ann., Int. Math. Res. Not.等国际著名学术期刊发表多篇论文。
报告摘要:
In this talk, we will first discuss the effective joint equidistribution of primitive rational points on expanding horospheres in the space of unimodular lattices. We will then consider the effective joint equidistribution of rational points on expanding closed horocycles that are related by different powers. The proofs rely on analytic number theory, particularly techniques from the theory of automorphic forms, L-functions, and Kloosterman sums. This talk is based on joint work with Daniel El-Baz and Min Lee, and ongoing work with Min Lee and Andreas Strömbergsson.