Arithmetic of Abelian Varieties

Algebra Seminar
Monday, November 26, 2012 - 3:05pm
1 hour (actually 50 minutes)
Skiles 005
Georgia Tech
We introduce a new invariant of an abelian variety defined over a number field, and study its arithmetic properties. We then show how an extended version of Mazur's visibility theorem yields non-trivial elements in this invariant and explain how such a construction provides theoretical evidence for the Birch and Swinnerton-Dyer Conjecture.