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Pseudorandomness of Sato-Tate Distributions for Elliptic Curves
莫仲鹏 教授(美国普渡大学)
2024年9月12日 10:15-11:15  闵行校区数学楼102

邀请人:刘钢 教授

报告内容介绍:Equidistribution is an important theme in number theory. The Sato-Tateconjecture, which was established by Richard Taylor et.al. in 2008, asserts that given an elliptic curve over Q without complex multiplication, the associated Frobenius angles are equidistributed with respect to the Sato-Tate measure. In this talk, we discuss refinements to the original Sato-Tate conjecture. In particular, we conjecture that the Frobenius angles are in fact statistically independently distributed with respect to the Sato-Tate measure, and satisfy a qualitative form of the Law of Iterated Logarithm for random numbers. Numerical evidence would be presented to support the conjectures. Joint work with Huimin Zheng.

报告人简介:
莫仲鹏教授,他的研究兴趣是:代数数论、自守表示论和朗兰兹纲领,在Mem. Amer. Math. Soc.、Compos. Math.、Comment. Math.Helv.、Math. Res. Lett.等著名数学刊物发表论文10余篇。代表荣誉:加拿大安大略省,Early Researcher Award,2012;美国李氏基金会,Li Foundation Heritage Prize,2019;2020年入选国家级人才计划青年学者项目。