Speaker:
Marius Leonhardt
Affiliation:
Universität Heidelberg
Date:
Wed, 25/06/2025 - 14:30 - 15:30
Given a hyperbolic curve $Y$ defined over the integers and a finite set of primes $S$, the set of $S$-integral points $Y(\mathbb{Z}_S)$ is finite by theorems of Siegel, Mahler, and Faltings. Determining this set in practice is a difficult problem for which no general method is known. In this talk I report on joint work in progress with Martin Lüdtke in which we develop a Chabauty--Coleman method for finding $S$-integral points on affine curves.