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Integrality of smoothed p-adic Artin L-functions
February 3, 2023 at 13:30 – 15:00 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.