Heights, Discriminants and Conductors

Joint IAS-PU Number Theory Seminar
Topic:Heights, Discriminants and Conductors
Speaker:Rafael von Kanel
Affiliation:Member, School of Mathematics
Date:Thursday, January 5
Time/Room:4:30pm - 5:30pm/S-101

In this talk we consider the problem of giving explicit inequalities which relate heights, discriminants and conductors of a curve defined over a number field. We present such inequalities for some curves, including all curves of genus one or two and we discuss Diophantine applications