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arXiv · 2311.15457

Fonctions d'une variable $p$-adique et repr\'esentations de ${\rm GL}_2(\mathbf{Q}_p)$

Pierre Colmez·Shanwen Wang
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Abstract

We extend the dictionary between Fontaine rings and $p$-adic functionnal analysis, and we give a refinement of the $p$-adic local Langlands correspondence for principal series representations of ${\rm GL}_2(\mathbf{Q}_p)$.

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Pierre Colmez, Shanwen Wang. 2023-11-26. Fonctions d'une variable $p$-adique et repr\'esentations de ${\rm GL}_2(\mathbf{Q}_p)$. https://arxiv.org/abs/2311.15457

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