Gergely Z'abr'adi

activity

20162020

collaborators

6 papers

math.NT2020

Multivariable $(φ, Γ)$ -modules and Representations of Products of Galois Groups: The Case of Imperfect Residue Field

Jishnu Ray, Feng Wei, Gergely Zábrádi

Let $K$ be a complete discretely valued field with mixed characteristic $(0, p)$ and imperfect residue field $k_{K}$ . Let $Δ$ be a finite set. We construct an equivalence of categori…

math.NT2019

On Kuznetsov-Bykovskii's formula of counting prime geodesics

Giacomo Cherubini, Han Wu, Gergely Zábrádi

We generalize a formula on the counting of prime geodesics, due to Kuznetsov-Bykovskii, used in the work of Soundararajan-Young on the prime geodesic theorem. The method works over…

math.NT2018

Drinfeld's lemma for perfectoid spaces and overconvergence of multivariate $(φ, Γ)$ -modules

Annie Carter, Kiran S. Kedlaya, Gergely Zábrádi

Let $p$ be a prime, let $K$ be a finite extension of $Q_{p}$ , and let $n$ be a positive integer. We construct equivalences of categories between continuous $p$ -adic represen…

math.NT2017

Estimating the greatest common divisor of the value of two polynomials

Péter E. Frenkel, Gergely Zábrádi

Let $p$ be a fixed prime, and let $v (a)$ stand for the exponent of $p$ in the prime factorization of the integer $a$ . Let $f$ and $g$ be two monic polynomials with integer coeffici…

math.NT2017

Cohomology and overconvergence for representations of powers of Galois groups

Aprameyo Pal, Gergely Zábrádi

We show that the Galois cohomology groups of $p$ -adic representations of a direct power of $Gal (Q_{p} / Q_{p})$ can be computed via the genera…

math.NT2016

The p-adic Hodge decomposition according to Beilinson

Tamás Szamuely, Gergely Zábrádi

A detailed presentation of Beilinson's approach to p-adic Hodge theory.