This is the web page for an informal seminar on the method of Chabauty and Coleman with the slogan "Bring your slippers" run by Nick Rome and Julian Lyczak at IST.

The method of Chabauty and Coleman is a technique for obtain effective results on the set of points on a curve by embedding the curve in its Jacobian. The first technique only applies in the cases where the rank is smaller than the genus. In this seminar we will discuss this techniques and apply it to explicit curves, but hopefully we will also have time to go into its extensions such as quadratic and non-abelian Chabauty.

Date | Subject | Speaker | Notes |
---|---|---|---|

Jan 22 | MotivationWhy am I interested in Chabauty? An introduction to Chabauty–Coleman |
Julian Lyczak Nick Rome | |

Jan 29 | Arithmetic of curves | Francesca Balistrieri | |

Feb 5 | p-adic analysis |
||

Feb 12 | Classical Chabauty |
||

Feb 19 | Quadratic Chabauty |

- These notes were used for the first three lectures of a course at the Summer School Computational Methods in Number Theory in July 2019 in Bristol given by by Steffen Müller.
- The homepage of a seminar on (non-abelian) Chabauty at Emory University in Fall 2019.
- The homepage of a seminar on non-abelian Chabauty at Università di Pisa held in 2017 and 2018. The webpage is in Italian, but the notes are mostly in English.
- An introduction to the method of Chabauty and Coleman by William McCallum and Bjorn Poonen.
- Some problems by Jennifer Balakrishnan on Coleman integration and p-adic heights.
- The presentation Computing integral points on hyperelliptic curves by Steffen Müller.