University of Cambridge > Talks.cam > Number Theory Seminar > Coleman integrals, p-adic heights, and integral points on hyperelliptic curves

Coleman integrals, p-adic heights, and integral points on hyperelliptic curves

Add to your list(s) Download to your calendar using vCal

  • UserJennifer Balakrishnan (Oxford)
  • ClockTuesday 04 February 2014, 16:15-17:15
  • HouseMR13.

If you have a question about this talk, please contact James Newton.

We discuss explicit computation of Coleman integrals on hyperelliptic curves and some applications. In particular, we relate a formula for the component at p of the p-adic height pairing to a sum of iterated Coleman integrals. We use this to give a Chabauty-like method for computing p-adic approximations to integral points on such curves when the Mordell-Weil rank of the Jacobian equals the genus.

This talk is part of the Number Theory Seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity