Chow-Witt Groups, Tensor Triangular Geometry, and Milnor-Witt Motives / von Jule Marie Hänel. Wuppertal, 2024
Inhalt
- Introduction
- Tensor Triangular Geometry and Dualities
- Grothendieck–Witt and Witt Groups
- (Grothendieck–)Witt Groups of Triangulated Categories
- (Grothendieck–)Witt Groups of Exact Categories
- Localization
- Tensor Triangular Chow–Witt Groups
- Tensor Triangular Chow Groups
- Chow–Witt Groups of a Scheme
- Tensor Triangular Chow–Witt Groups
- Agreement with Algebraic Geometry
- Reformulation of Classical Oriented Cocycles
- Reformulation of Classical Oriented Coboundaries
- Agreement of Chow–Witt Groups
- Functoriality
- Chow(–Witt) Groups for Tensor Triangular Categories with Models
- Computations in Modular Representation Theory
- The Stable Module Category
- The (Grothendieck–)Witt Group of kG`3́9`42`"̇613A``45`47`"603Astab
- Tensor Triangular Chow–Witt Groups for G=Z/pnZ
- Tensor Triangular Chow Groups for G=Z/pZZ/pZ
- Tensor Triangular Chow–Witt Groups for G=Z/pZZ/pZ
- The Spectrum of Artin Motives
- The Derived Category of Artin Milnor–Witt Motives
- Milnor–Witt Motives
- Sheaves with Milnor–Witt Transfers on Zero-Dimensional Schemes
- Artin Milnor–Witt Motives
- Cohomological Milnor–Witt Mackey Functors
- The Balmer Spectrum of Artin Milnor–Witt Motives
- Bibliography