Equivariant algebraic K-theory of profinite Bieberbach group actions
Abstract/Contents
- Abstract
- This thesis considers the equivariant algebraic K-theory of the actions of certain groups, which are profinite analogues of Bieberbach groups, on certain inverse systems of algebraic tori. The significance of these groups is that it is known that they can be used to approximate the absolute Galois groups of fields containing an algebraically closed subfield, due to work by G. Carlsson and R. Joshua, and these actions are used to build an object used to prove the representational assembly conjecture proposed by G. Carlsson. We prove an analogue of the Gersten spectral sequence in the case of a finite group action on a scheme, and develop a related technique, which is a modified version of the Gersten filtration, to handle these profinite group actions. We then carry out explicit calculations in equivariant algebraic K-theory using this technique.
Description
| Type of resource | text |
|---|---|
| Form | electronic resource; remote; computer; online resource |
| Extent | 1 online resource. |
| Place | California |
| Place | [Stanford, California] |
| Publisher | [Stanford University] |
| Copyright date | 2022; ©2022 |
| Publication date | 2022; 2022 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Author | Kraushar, Naomi Lisbeth |
|---|---|
| Degree supervisor | Carlsson, G. (Gunnar), 1952- |
| Degree supervisor | Vakil, Ravi |
| Thesis advisor | Carlsson, G. (Gunnar), 1952- |
| Thesis advisor | Vakil, Ravi |
| Thesis advisor | Vasy, András |
| Degree committee member | Vasy, András |
| Associated with | Stanford University, Department of Mathematics |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Naomi Lisbeth Kraushar. |
|---|---|
| Note | Submitted to the Department of Mathematics. |
| Thesis | Thesis Ph.D. Stanford University 2022. |
| Location | https://purl.stanford.edu/pr278bp6689 |
Access conditions
- Copyright
- © 2022 by Naomi Lisbeth Kraushar
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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