Algebraic k-theory and topological cyclic homology of rings

Project Information

Grant agreement ID: FMBI961559

Project closed

Start date 13 July 1997

End date 12 July 1999

Funded under

• Specific research and technological development programme in the field of the training and mobility of researchers, 1994-1998

Total cost No data

EU contribution No data

Coordinated by

UNIVERSITY OF OSLO
Norway

Objective

This project is centered around computations of two important invariants for algebraic and homotopy rings,namely,the algebraic K-theory and the topological cyclic homology groups associated to these rings. A general scheme for computations of topological cyclic homology groups was established in our thesis, and it is based on a descent theorem for the action of cyclic groups on the topological Hochschild homology spaces of certain rings. Using this scheme,computations of topological cyclic homology (and algebraic K-theory) groups were carried out for the rings of p-adic integers. One of the objectives of this project is to extend these computations to other rings, e.g. truncated polynomial rings over the rings of p-adic integers. A second objective is to study the descent problem in general for actions of profinite groups on spaces, and especially the particular case of the action of the Galois group of a fied extension KCL on the K-theory space of the field L.

Programme(s)

• FP4-TMR - Specific research and technological development programme in the field of the training and mobility of researchers, 1994-1998

Topic(s)

• 0302 - Post-doctoral research training grants
• TM22 - Geometry and Topology

Call for proposal

Data not available

Funding Scheme

RGI - Research grants (individual fellowships)

Coordinator

UNIVERSITY OF OSLO

• EU contribution: No data
• Address: 0316 OSLO ; Norway
• Total cost: No data

Participants (1)

Not available

Greece

• EU contribution: No data
• Total cost: No data