Moduli stacks of (phi,Gamma)-modules: a survey
Matthew Emerton, Toby Gee
TL;DR
This survey provides an overview of the moduli stacks of (phi,Gamma)-modules, covering foundational concepts, recent developments, and related topics in p-adic Hodge theory, based on a series of lectures.
Contribution
It consolidates and explains the current state of the Emerton--Gee stack and related moduli stacks of (phi,Gamma)-modules, making complex topics accessible.
Findings
Summarizes key properties of (phi,Gamma)-modules
Highlights recent advances in the theory of moduli stacks
Provides detailed explanations of foundational concepts
Abstract
This survey article is based on 10 lectures that we gave at the September 2019 Hausdorff School in Bonn on "the Emerton--Gee stack and related topics", and the sections correspond to the original lectures. We have retained the somewhat informal style of some of these lectures, but have filled them out with further details.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic structures and combinatorial models · Algebraic Geometry and Number Theory