Series Title: On the arithmetic of hyperelliptic curves
Wednesday October 10th
Lecture 2: Hyperelliptic curves with a rational Weierstrass point
105 North Gate Hall
I will review the equations that define these curves, and describe the subgroup of 2-torsion in their Jacobians. After a review of the 2-descent, I will state the results which Bhargava and I have obtained on the average value of the order of the 2-Selmer group, and give some corollaries on the rational points of the curve and its Jacobian.