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Integrality of smoothed p-adic Artin L-functions

February 3 at 13:3015:00 CET

Bence Forrás (Universität Duisburg-Essen)

Abstract: We introduce a smoothed version of the equivariant S-truncated p-adic Artin L-function for one-dimensional admissible p-adic Lie extensions of number fields. Integrality of this smoothed p-adic L-function, conjectured by Greenberg, has been verified for pro-p extensions (assuming the Equivariant Iwasawa Main Conjecture) as well as p-abelian extensions (unconditionally). Integrality in the general case is also expected to hold, and is the subject of ongoing research.

Details

Date:
February 3
Time:
13:30 – 15:00 CET

Organizer

Otmar Venjakob

Venue

Heidelberg, Mathematikon, SR A and Livestream