Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Prof. Chung Pang Mok，Soochow University
Inviter:	Prof. Qingtang Su，MCM
Title:	Pseudorandomness of Sato-Tate Distributions for Elliptic Curves
Language:	Chinese
Time & Venue:	2023.04.12 10:30-11:30 MCM 110 Zoom ID: 4663562952 Password: mcm1234
Abstract:	Equidistribution is an important theme in number theory. The Sato-Tate conjecture, 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 evidences would be presented to support the conjectures. Joint work with Huimin Zheng.