Algebra Seminar - Dr. Francesca Bianchi
|When:||We 06-01-2021 13:00 - 14:00|
|Where:||Blackboard Collaborate (see below)|
Title: p-adic heights and p-adic sigma functions on Jacobians of genus 2 curves
Extending work of Mazur and Tate on elliptic curves, Blakestad recently constructed a p-adic analogue of the complex sigma function on Jacobians of genus 2 curves. We use Blakestad's function to define, compute and study p-adic heights on such Jacobians. P-adic heights are of much arithmetic interest. Just to cite one application, they figure prominently in the quadratic Chabauty method for the computation of integral and rational points on curves.