Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Stevan Gajovic
Affiliation:

MPIM
Date:

Wed, 06/04/2022 - 14:30 - 15:30 For zoom details contact Pieter Moree (moree@mpim-bonn.mpg.de).

In this talk, we show how to construct p-adic (Coleman-Gross) heights on

even degree hyperelliptic curves, more precisely, its local component

above p. Using heights, we construct a locally analytic function that we

use to compute integral points on certain even degree hyperelliptic

curves whose Jacobian has Mordell-Weil rank over Q equal to the genus.

This is joint work with Steffen MÃ¼ller.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/246