TIME: 3:30pm in Padelford C401. SPEAKER: Jennifer S. Balakrishnan (MIT) TITLE: Local p-adic heights on hyperelliptic curves

ABSTRACT: We describe an algorithm to compute the local component at p of the Coleman-Gross p-adic height pairing on divisors on hyperelliptic curves. As the height pairing is given in terms of a Coleman integral, we also provide new techniques to evaluate Coleman integrals of meromorphic differentials with poles in non-Weierstrass discs. To demonstrate our Sage implementation, we use the work of Muller to compute the local heights away from p and give examples of global p-adic heights and regulators.

This talk is based on joint work with Amnon Besser.