MA 841 (p-adic methods for rational points on curves)
Instructor: Jennifer Balakrishnan
Time: TR 11:00 AM - 12:15 PM in PSY B53
Office hours: TR 12:15 - 1:45 PM

Course overview

This course will give a survey of recent developments in p-adic methods for determining the set of rational points on curves of genus at least 2. Topics will include the method of Chabauty-Coleman, p-adic cohomology-based point-counting (after Kedlaya and Tuitman), explicit Coleman integration, covering collections, elliptic Chabauty, p-adic heights, and quadratic Chabauty. Throughout, we will illustrate techniques with examples of current interest.