Shintani cocycles of p-adic measures
G. Ander Steele
TL;DR
This paper extends the p-adic Shintani cocycle framework to construct cocycles on arithmetic subgroups of GL_n(Q), mapping deformation vectors to p-adic measures, advancing the understanding of p-adic automorphic forms.
Contribution
It introduces a novel application of the p-adic Shintani cocycle to arithmetic subgroups of GL_n(Q), linking deformation vectors to p-adic measures.
Findings
Construction of cocycles on arithmetic subgroups of GL_n(Q)
Mapping deformation vectors to p-adic measures
Enhanced understanding of p-adic automorphic forms
Abstract
We apply the constructions of "The p-adic Shintani cocycle" to the Shintani cocycle of Charollois-Dasgupta-Greenberg, obtaining cocycles on arithmetic subgroups of GL_n(Q$ valued in maps from "deformation vectors" R^n-Q^n to p-adic measures.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Alkaloids: synthesis and pharmacology