View abstract

Session I.2 - Computational Number Theory - Semi-plenary talk

Tuesday, June 13, 14:00 ~ 15:00

Computing Selmer sets

Jennifer Balakrishnan

Boston University, USA   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

Kim's nonabelian Chabauty program for studying rational points on hyperbolic curves yields a series of refined Selmer sets at depth n, cut out by n-fold iterated p-adic integrals. We discuss computations that have been done of these sets in explicit cases, including punctured elliptic curves and smooth projective curves of genus 2 and 3.

View abstract PDF