The Emerton-Gee stack is the moduli stack of étale -modules. It is used as to study p-adic Galois modules , for a finite extension of and a p-adically complete -algebra, as it is better behaved than the naive moduli stack of these p-adic Galois modules (which sits inside of it as a substack).
The Emerton-Gee stack is a Noetherian formal algebraic stack. Its underlying reduced substack is an algebraic stack of finite type over , and is equidimensional of . The irreducible components of the reduced substack are labeled by Serre weights (irreducible representations of ).
Last revised on December 1, 2022 at 04:19:19. See the history of this page for a list of all contributions to it.