Geometry & Topology Seminar

Sun's conjectures on determinants of trigonometric functions and class numbers of cyclotomic fields

  • 演讲者:郭学军(南京大学)

  • 时间:2021-12-11 11:10-12:10

  • 地点:Zoom ID 830 0410 2799, Passcode 20211211

Abstract
Zhi-Wei Sun made a series of conjectures on determinants of trigonometric functions in 2019. These conjectures have deep relations with class numbers of cyclotomic fields. I will explain how Sun's determinants encode the class numbers. This is a joint work with Xin Li and Zhengyu Tao.