The homotopy limit problem for Hermitian \(K\)-theory, equivariant motivic homotopy theory and motivic real cobordism (Q635493)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The homotopy limit problem for Hermitian \(K\)-theory, equivariant motivic homotopy theory and motivic real cobordism |
scientific article; zbMATH DE number 5941214
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The homotopy limit problem for Hermitian \(K\)-theory, equivariant motivic homotopy theory and motivic real cobordism |
scientific article; zbMATH DE number 5941214 |
Statements
The homotopy limit problem for Hermitian \(K\)-theory, equivariant motivic homotopy theory and motivic real cobordism (English)
0 references
19 August 2011
0 references
The homotopy limit problem originally posed by Thomason and studied in this paper, asks how close the canonical map from Hermitian \(K\)-theory to the \(\mathbb Z/2\)-homotopy fixed points of algebraic \(K\)-theory is to being an isomorphism, at least after \(2\)-completion. The main results solve this problem for all fields of characteristic~\(0\) which satisfy a certain cohomological condition. The approach taken involves applying a significant amount of equivariant motivic stable homotopy theory, which should be of wider interest.
0 references
algebraic \(K\)-theory
0 references
Hermitian \(K\)-theory
0 references
motivic homotopy theory
0 references
equivariant homotopy theory
0 references
