Ngo-Thanh-Dat Pham

Moduli stacks of Lubin--Tate $(φ,Γ)$-modules

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