Irreducible mod $p$ Lubin-Tate $(\varphi,\Gamma)$-modules

Cédric Pépin; Tobias Schmidt

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arXiv · 1911.11820

Irreducible mod $p$ Lubin-Tate $(\varphi,\Gamma)$-modules

Cédric Pépin·Tobias Schmidt

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Abstract

Let $F$ be a finite extension of $\mathbb{Q}_p$. We determine the Lubin-Tate $(\varphi,\Gamma)$-modules associated to the absolutely irreducible mod $p$ representations of the absolute Galois group ${\rm Gal}(\bar{F}/F)$.

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Cédric Pépin, Tobias Schmidt. 2019-11-26. Irreducible mod $p$ Lubin-Tate $(\varphi,\Gamma)$-modules. https://arxiv.org/abs/1911.11820

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