Thursday, November 29, 2012 3:30 pm
-
3:30 pm
EST (GMT -05:00)
Jerry Wang, Harvard University
"Pencils of quadrics and 2-Selmer groups of Jacobians of hyperelliptic curves"
Since Bhargava and Shankar's new method of counting orbits, average orders of the 2,3,4,5-Selmer groups of elliptic curves over Q have been obtained. In this talk we will look at a construction of torsors of Jacobians of hyperelliptic curves using pencils of quadrics and see how they are used to compute the average order of the 2-Selmer groups of Jacobians of hyperelliptic curves over Q with a rational (non-)Weierstrass point.