Potential modularity for elliptic curves and applications
Time and place
1 PM on Monday, March 1st, 2010; NAC 1511
Prof. Cristian Virdol (Columbia University)
Abstract
I will describe the simultaneous potential modularity of a finite number of elliptic curves defined over an arbitrary totally real number field. As a consequence I will prove some results on Birch and Swinnerton-Dyer conjecture for elliptic curves defined over totally real fields, and also on Tate conjecture for a product of two or four elliptic curves defined over totally real fields.
