Talk
Rational points on curves and the method of Chabauty and Coleman
- Stevan Gajović (Charles University in Prague)
Abstract
In this talk, we will survey the method of Chabauty and Coleman and its variations. The original method is powerful for determining rational points on curves satisfying a certain rank condition. Depending on this rank condition, we also discuss the other variations that we can use to determine rational (or more general) points. Also, we give a motivation to consider these various cases.