4/10/2007

K. Fujiwara
Nagoya

Iwasawa theory and non-abelian class field theory

Since the proof of Iwasawa's main conjecture in the classical case (theorem of Mazur and Wiles), automorphic forms on GL(2) have played an essential role to understand Iwasawa theory for GL(1). In this lecture, Leopoldt 's conjecture for totally real fields will be discussed from this perspective.