Title:
Computing Cassels-Tate pairing for odd degree hyperelliptic curves

Abstract:
In this talk I will present an algorithm to compute the
Cassels-Tate pairing on the 2-selmer groups of jacobians of odd-degree
hyperelliptic curves i.e. C : y^2=f(x) over number fields. I will also
talk about computing the pairing for other isogenies with kernels
smaller than the 2-torsion subgroup of the Jacobians of genus 2 curves.