Moduli stacks of Lubin--Tate $(\varphi,\Gamma)$-modules
Number Theory
2023-02-21 v1
Abstract
We define and study stacks which parametrize Lubin--Tate -modules. By working at a perfectoid level, we compare these with the Emerton--Gee stacks of cyclotomic -modules. As a consequence, we deduce perfectness of the Herr complex in the Lubin--Tate setting.
Keywords
Cite
@article{arxiv.2302.09534,
title = {Moduli stacks of Lubin--Tate $(\varphi,\Gamma)$-modules},
author = {Ngo-Thanh-Dat Pham},
journal= {arXiv preprint arXiv:2302.09534},
year = {2023}
}
Comments
29 pages, comments welcome! arXiv admin note: text overlap with arXiv:1908.07185 by other authors