Moduli stacks of Lubin--Tate (,)-modules

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.

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