Feldmann, Mark: p-adic Weil group representations. 2018
Inhalt
- Introduction
- 1 Weil Group Representations
- 1.1 Trivia about the Weil Group
- 1.2 p-adic Representations
- 1.3 Mod-p- and Zp-Representations
- 1.4 Formalism of Admissibility
- 2 Period Rings
- 2.1 Perfectoid Fields
- 2.2 Tilting
- 2.3 The map
- 2.4 The Crystalline Period Ring (Bcrys)
- 2.5 The Ring of p-adic Periods (BdR)
- 2.6 The Tilted p-adic Logarithm
- 2.7 GK-Invariants of Period Rings
- 2.8 The Log-crystalline Period Ring (Bst)
- 2.9 A Two-Dimensional Representation of GK
- 3 (B-)Admissible Representations
- 3.1 Fontaine's Equivalences of Categories
- 3.2 Log-crystalline Weil Group Representations
- 3.3 De Rham Weil Group Representations
- 4 Weil vs Galois group representations
- 4.1 Lifting Maps from Z to
- 4.2 Identifying the Galois Group Representations
- 4.3 Decomposition of Weil Group Representations
- 4.4 Generators of Abelian Tensor Categories
- 4.5 Generators
- 5 (,,F)-Modules
- 5.1 (,F)-Modules and Mod-p-Representations
- 5.2 (,,F)-Modules and Mod-p Representations
- 5.3 Reality Check
- 5.4 (,F)-Modules and p-adic Representations
- 5.5 (,,F)-Modules and p-adic Representations
- Appendices
- A Divided Powers
- A.1 Universal Enveloping Divided Power Ring
- A.2 Divided Power Envelopes
- A.3 Compatibility with Tensor Products
- B Slope filtrations
- Bibliography