Change of weights operations for triangulated $(φ,Γ)$-modules

Fuente: arXiv
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Main Author: Wang, Zichuan
Format: Preprint
Published: 2025
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author Wang, Zichuan
author_facet Wang, Zichuan
contents Zhixiang Wu has shown the existence of "change of weights" operation on $(φ,Γ)$-modules in families (arxiv:2405.16637). We interpret it in the trianguline case as pullbacks with a discussion on related stacks. Finally, we prove that it intertwines well with translation functors via a 1-1 correspondence defined by Yiwen Ding (arXiv:2407.21237) in the non-critical crystabelline case.
format Preprint
id arxiv_https___arxiv_org_abs_2511_15962
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Change of weights operations for triangulated $(φ,Γ)$-modules
Wang, Zichuan
Number Theory
Representation Theory
Zhixiang Wu has shown the existence of "change of weights" operation on $(φ,Γ)$-modules in families (arxiv:2405.16637). We interpret it in the trianguline case as pullbacks with a discussion on related stacks. Finally, we prove that it intertwines well with translation functors via a 1-1 correspondence defined by Yiwen Ding (arXiv:2407.21237) in the non-critical crystabelline case.
title Change of weights operations for triangulated $(φ,Γ)$-modules
topic Number Theory
Representation Theory
url https://arxiv.org/abs/2511.15962