Quadratic Chabauty for integral points and p-adic heights on even degree hyperelliptic curves

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 Müller.