Professor Haruzo Hida (University of California Los Angeles)

Event Details

Title: Cyclicity in Iwasawa Theory and Ring Theory of Hecke Algebras

Abstract: Under mild conditions, we prove a certain Gorenstein property of a Hecke algebra is equivalent to cyclicity of the Iwasawa module for the anticyclotomic Zp extension over an imaginary quadratic field with an anticyclotomic branch character. If such a ring- theoretic result holds, the characteristic ideal of the Iwasawa module determines the isomorphism class of the Iwasawa module as expected by Iwasawa.