Colloquium: Robert Snellman (University of California San Diego)

Title: Special Values of L-functions and Fitting Ideals

Abstract: The Main Conjecture in Iwasawa theory provides a deep connection between a certain p-adic zeta function and arithmetic data associated to class groups in p-power cyclotomic extensions. Proved by Mazur and Wiles, later generalized and proved by Wiles for totally real fields, the Main Conjecture can be interpreted in terms of a Fitting ideal. I will give an overview of the importance of higher Fitting ideals in the structure theory of modules, and provide a conjecture giving a relationship between higher Fitting ideals of Iwasawa modules and special values of L-functions.

Date: Thursday, February 15, 2018
Time: 4:00 PM
Room: 135 TMCB