Work

Lifting mod $p^n$ Galois representations

Year: 2026

Type: preprint

Abstract: We generalize the results of Fakhruddin-Khare-Patrikis, which lift odd mod $p$ Galois representations to geometric $p$-adic representations, to geometric lifting theorems for mod $p^n$ representations whose mod $p$ reduction is odd.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.23579

Authors: Nikoloski, Stefan, Patrikis, Stefan

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Ohio State University

Award: CAREER: Galois Representations: Deformation Theory and Motivic Origins

OpenAlex ID: W7222955570

Cites: 1

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Related to: 10