Abstract:
In his memoir of 1900, Henri Poincaré proposed a program to study the arithmetic properties of algebraic curves based on their geometric structures. This led to tremendous achievements in the 20th century, including the proof of the Mordell—Weil theorem (Mordell 1922, Weil 1928), the Mordell conjecture (Faltings 1983), and Fermat's last theorem (Wiles 1994).

In this series of lectures, I will describe the early history,  recent developments, and open problems on the arithmetic of curves and related varieties.

Registration: https://www.wjx.top/vm/eDYe0Cl.aspx#

Note: This is only for course registration. Please make campus entry application by yourself. 校外人员，请自行申请进校。