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

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Abstract

We study ``change of weights'' maps between loci of the stack of (, ) -modules over the Robba ring with integral Hodge-Tate-Sen weights. We show that in the GL₂ (Qₚ) case these maps can realize translations of (, ) -modules geometrically. The motivation is to investigate translations of locally analytic representations under the categorical p-adic Langlands correspondence.

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Zhixiang Wu (Sun,) studied this question.

synapsesocial.com/papers/68e686b9b6db64358760ee94 https://doi.org/https://doi.org/10.48550/arxiv.2405.16637

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