Special Session 100: Roots and trends in number theory

Rational points on elliptic curves and BSD conjecture

Shuai Zhai
Shandong University
Peoples Rep of China
Co-Author(s):    
Abstract:
It is widely recognised that there is a deep connection between the analytical and algebraic aspects of elliptic curves, namely the Birch and Swinnerton-Dyer conjecture, which is one of the Millennium Prize Problems. In this talk, I will present a few classical Diophantine problems, with connections to elliptic curves and the Birch and Swinnerton-Dyer conjecture.