Ruprecht-Karls-Universität Heidelberg
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„Integrality of smoothed p-adic Artin L-functions“
Bence Forrás, Universität Duisburg-Essen

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.

Freitag, den 3. Februar 2023 um 13:30 Uhr, in INF 205, SR A Freitag, den 3. Februar 2023 at 13:30, in INF 205, SR A

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Dr. Otmar Venjakob