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arXiv · 2302.09534

Moduli stacks of Lubin--Tate $(\varphi,\Gamma)$-modules

Ngo-Thanh-Dat Pham
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Abstract

We define and study stacks which parametrize Lubin--Tate $(\varphi,\Gamma)$-modules. By working at a perfectoid level, we compare these with the Emerton--Gee stacks of cyclotomic $(\varphi,\Gamma)$-modules. As a consequence, we deduce perfectness of the Herr complex in the Lubin--Tate setting.

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Ngo-Thanh-Dat Pham. 2023-02-19. Moduli stacks of Lubin--Tate $(\varphi,\Gamma)$-modules. https://arxiv.org/abs/2302.09534

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