Recent Progress on Diophantine Equations in Two Variables

The study of rational or integral solutions to polynomial equations $f(x_1, x_2,.., x_n)=0$ is among the oldest subjects in mathematics. After a brief description of its modern history, we will review a few of the breakthroughs of the last few decades and some recent geometric approaches to describing sets of solutions when the number of variables is $2$.

Zoom-conference link (Zoom-conference identificator: 948 341 6153; password: 2SXtEz)