p-adic heights and integral points on hyperelliptic curves

Series
Algebra Seminar
Time
Monday, April 22, 2013 - 3:05pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Jennifer Balakrishnan – Harvard University
Organizer
Matt Baker
We give a Chabauty-like method for finding p-adic approximations to integral points on hyperelliptic curves when the Mordell-Weil rank of the Jacobian equals the genus. The method uses an interpretation ofthe component at p of the p-adic height pairing in terms of iterated Coleman integrals. This is joint work with Amnon Besser and Steffen Mueller.