Date:	Mon, March 23, 2009
Time:	17:15
Place:	Research II Lecture Hall

Abstract: A Serre curve is an elliptic curve defined over the rational numbers whose torsion subgroup has "as much Galois symmetry as possible." In this talk, I will discuss a theorem which says that, in appropriately chosen one-parameter families of elliptic curves, almost all specializations are Serre curves. This is based on joint work with A. Cojocaru and D. Grant.