Overview
Syllabus
Intro
The Congruent Number Problem
Quadratic twists of eliptic curves over 0
Conjectures on Leading terms of L-series under Quadratic Twist
Goldfeld Conjecture for CM Families
Equivalence relation for quadratic twist families
Elliptic curves with full rational 2-torsion
Distribution of 2-Selmer groups for type (A)
Distribution of 2-Selmer groups for type (B) and (C)
Kolyvagin's Question Now we are in the situation that
Modularity of Heegner cycles
Arithmetic Rallis inner product formula
Application to Kolyvagin's Problem
Taught by
International Mathematical Union