The 2-parity conjecture for Jacobians of hyperelliptic curves

Adam Morgan (University of Glasgow)

Wednesday 20th October 16:00-17:00 Maths 110


For an abelian variety A defined over a number field, the parity conjecture asserts that the global root number of A determines the parity of its rank.
Since the former is much easier to compute, this has several important implications for the arithmetic of A.
After reviewing some of these I will discuss progress towards a variant of this, the 2-parity conjecture, for Jacobians of hyperelliptic curves.
Part of this is joint with Vladimir Dokchitser and Holly Green.

Add to your calendar

Download event information as iCalendar file (only this event)