Algebraic k-theory of z/nz

Project Information

Grant agreement ID: FMBI983446

Project closed

Start date 2 November 1998

End date 1 November 2000

Funded under

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

Total cost € 0,00

EU contribution No data

Coordinated by

UNIVERSITY OF BIELEFELD
Germany

Objective

Research objectives and content
I propose to compute topological Hochschild homology and topological cyclic homology for the ring Z/nZ of integers modulo a number n. By a theorem of Hesselholt and Madsen based on results of R. McCarthy, for Z/nZ, K-theory and topological cyclic homology essentially agree. Training content (objective, benefit and expected impact)
I expect that I will benefit from the very active group in algebraic topology centered around prof. F. Waldhausen in Bielefeld. In particular I believe that the Gamma-rings of M. Lydakis and S. Schwede will be helpful for me. Gamma-rings are a particular kind of rings up to homotopy, that go well well into the construction of topological Hochschild and Waldhausen's so-called A-theory. I also think that I will have good chances to get a deeper understanding of Waldhausen's A-theory in Bielefeld.
Links with industrial relevance (22)

Fields of science

• natural sciences › mathematics › pure mathematics › topology › algebraic topology

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 BIELEFELD

• EU contribution: No data
• Address: Universitaetsstrasse 25 ; 33501 BIELEFELD ; Germany
• Total cost: No data