Inductive Methods for Counting Number Fields

Watch a 57-minute mathematics lecture from the Joint Princeton University/Institute for Advanced Study Number Theory seminar where Brandon Alberts from Eastern Michigan University explores inductive approaches for determining the asymptotic number of G-extensions of number fields with bounded discriminant. Learn about the proof of Malle's conjecture through multiple new cases, with detailed examples demonstrating the inductive methodology used in counting number fields. Gain insights into advanced number theory concepts and mathematical proof techniques as applied to field extensions and discriminant bounds.