Tue, October 22, 2019
5:15 am - 6:15 am
Scott Lab E0024
Title: A brief overview of the Chabauty Method
Speaker: Nick Geis - The Ohio State University
Abstract: Given a curve over $\mathbb{Q}$ of genus $g > 1$, Faltings's Theorem says that the set of rational points is finite. However, the theorem does not provide an explicit bound on this number. This talk will give a brief overview of the method of Chabauty and Coleman, which, under certain conditions, provides estimates for these sizes.