Activity: Talk or presentation › Invited talk › Research
Diophantine equations are polynomial equations in two or more variables, for which one seeks integer or rational solutions. A famous example is the Fermat equation, solved in 1995 by Andrew Wiles with his celebrated proof of the Taniyama-Shimura conjecture (also called the modularity conjecture).
In this talk, we explore how combinations of classical and modern (post-Wiles) approaches prove to be fruitful in solving families of Diophantine equations. We will explore plenty of explicit examples to guide us through various methodologies.