K. Ardakov

activity

20042025

most citedPrime ideals in nilpotent Iwasawa algebras

12 citations · 48 across the 26 of their papers we have counts for

collaborators

27 papers

math.NT2025

Irreducibility results for equivariant $D$ -modules on rigid analytic spaces

Konstantin Ardakov, Tobias Schmidt

We prove a general irreducibility result for geometrically induced coadmissible equivariant $D$ -modules on rigid analytic spaces. As an application, we geometrically repr…

math.NT2024

$p$ -adic Fourier theory for $Q_{p^{2}}$ and the Monna map

Konstantin Ardakov, Laurent Berger

We show that the coefficients of a power series occurring in $p$ -adic Fourier theory for $Q_{p^{2}}$ have valuations that are given by an intriguing formula.

math.NT2023

Global sections of equivariant line bundles on the $p$ -adic upper half plane

Konstantin Ardakov, Simon Wadsley

Let $F$ be a finite extension of $Q_{p}$ , let $Ω_{F}$ be Drinfeld's upper half-plane over $F$ and let $G^{0}$ the subgroup of $G L_{2} (F)$ consisting of elements whose determinant…

math.NT2023

Equivariant line bundles with connection on the p-adic upper half plane

Konstantin Ardakov, Simon J. Wadsley

Let $F$ be a finite extension of $Q_{p}$ , let $Ω_{F}$ be Drinfeld's upper half-plane over $F$ and let $G^{0}$ the subgroup of $G L_{2} (F)$ consisting of elements whose determinant…

math.RT2023

Stability in the category of smooth mod-p representations of SL_2(Qp)

Konstantin Ardakov, Peter Schneider

Let $p \geq 5$ be a prime number and let $G = S L_{2} (Q_{p})$ . Let $Ξ$ = Spec $(Z)$ denote the spectrum of the centre $Z$ of the pro- $p$ Iwahori Hecke algebra of $G$ with coeffi…

math.NT2023

Bounded functions on the character variety

Konstantin Ardakov, Laurent Berger

This paper is motivated by an open question in $p$ -adic Fourier theory, that seems to be more difficult than it appears at first glance. Let $L$ be a finite extension of $\mathbb{Q…

Irreducibility results for equivariant D-modules on rigid analytic spaces

p-adic Fourier theory for Qp2​ and the Monna map

Global sections of equivariant line bundles on the p-adic upper half plane

Equivariant line bundles with connection on the p-adic upper half plane

Stability in the category of smooth mod-p representations of SL_2(Qp)

Bounded functions on the character variety

Irreducibility results for equivariant $D$ -modules on rigid analytic spaces

$p$ -adic Fourier theory for $Q_{p^{2}}$ and the Monna map

Global sections of equivariant line bundles on the $p$ -adic upper half plane