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arXiv · 2304.05317

Moduli stacks of generalized phi-modules

Zhongyipan Lin
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Abstract

Let $F$ be an arbitrary $p$-adic field and let $G$ be an arbitrary reductive group over $F$ with Langlands dual group $^LG$. We show that the change-of-group morphism of Emerton-Gee stacks $\mathcal{X}_{^LG}\to\mathcal{X}_{GL_d}$ is relatively representable by algebraic stacks of finite presentation over $\operatorname{Spf}\mathbf{Z}_p$ for any embedding $^LG\to GL_d$, which improves the result of \cite{Min25} which says the morphism is representable by locally Noetherian formal algebraic stacks.

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Zhongyipan Lin. 2023-04-11. Moduli stacks of generalized phi-modules. https://arxiv.org/abs/2304.05317

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