The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
Chapters
1. Introduction
2. Hodge-proper stacks
3. De Rham, crystalline, and prismatic cohomology of stacks
4. Etale sheaves on geometric stacks
5. Etale cohomology of stacks
6. Local acyclicity of some quotient stacks
7. Applications
A. Geometric stacks and quasi-coherent sheaves
B. Fontaine's infinitesimal period ring ${A_{\mathrm {inf}}}$
C. Totalizations and coconnectivity
Dmitry Kubrak, Institut des Hautes Etudes Scientifiques, Bures-sur-Yvette, France.
Artem Prikhodko, National Research University, Moscow, Russia, and Center for Advanced Studies, Moscow, Russia.
