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Geometric translations of (φ, Γ)-modules for GL2(ℚp)

Zhixiang Wu

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Source: Crossref

Published: Oct 19, 2026

DOI: 10.1007/s11856-026-2941-4

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Source abstract

Abstract We study “change of weights” maps between loci of the stack of ( φ , Γ)-modules over the Robba ring with integral Hodge–Tate–Sen weights. We show that in the GL 2 (ℚ p ) case these maps can realize translations of ( φ , Γ)-modules geometrically. The motivation is to investigate translations of locally analytic representations under the categorical p -adic Langlands correspondence.

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Geometric translations of (φ, Γ)-modules for GL2(ℚp) — Mathematical Frontier Network