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

Research

Geometry & Topology Seminar

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

Speaker: Guo Xuejun (Nanjing University)
Time: Dec 11, 2021, 11:10-12:10
Location: 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.