Chapters in this book

1. Frontmatter i
2. Contents vii
3. Chapter One Introduction 1
4. Chapter Two Rings and coefficients 19
5. Chapter Three Moduli stacks of ϕ-modules and (ϕ, Γ)-modules 56
6. Chapter Four Crystalline and semistable moduli stacks 85
7. Chapter Five Families of extensions 125
8. Chapter Six Crystalline lifts and the finer structure of Xd,red 166
9. Chapter Seven The rank 1 case 185
10. Chapter Eight A geometric Breuil–Mézard conjecture 211
11. Appendix A Formal algebraic stacks 225
12. Appendix B Graded modules and rigid analysis 242
13. Appendix C Topological groups and modules 257
14. Appendix D Tate modules and continuity 261
15. Appendix E Points, residual gerbes, and isotrivial families 275
16. Appendix F Breuil–Kisin–Fargues modules and potentially semistable representations (by Toby Gee and Tong Liu) 279
17. Bibliography 289
18. Index 297