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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.11910 |
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Table of Contents:
- We introduce and study the moduli stack $\mathcal{Y}$ of Breuil-Kisin modules with $\hat{G}$-structure and descent data, or Breuil-Kisin $(Γ,\hat{G})$-torsors for short. Specifically, for a dominant cocharacter $μ$, we define the moduli stack $\mathcal{Y}^{\leq μ}$ of Breuil-Kisin $(Γ,\hat{G})$-torsors with Hodge-Tate weights bounded by $μ$. We prove that $\mathcal{Y}^{\leq μ}$ is a $p$-adic formal algebraic stack, and show that it is smoothly equivalent to (the $p$-adic completion of) a twisted Schubert variety $\operatorname{Gr}^{\leq μ}_{\mathcal{G}}$ in the sense of Pappas-Zhu. This is a reformatted and lightly edited version of the author's PhD thesis, submitted to Northwestern University in August 2024.