Developments in maclane homology andre quillen homology and t-homology ofrings

Objective

Research objectives and content
The domain of application of homology theories of algebras is very large. We have application in geometry, K-theory, algebraic topology. My primary interests are close to homological algebra and its applications. In particular there is an important interest to study MacLane homology for commutative rings as, recently, Pirashvili and Waldhausen have shown that is isomorphic with the topological Hochschild homology, which is related with problems in algebraic K-theory. In my research project, I will try to determinate, using algebraic methods of Franjou and Pirashvili, the MacLane homology for of further commutative rings. In parallel with this, I am interested, also in the F-homology, a new homology theory, introduced recently by A. Robinson at Warwick University. My aim when I finish my studies at Warwick is to return to Greece and to contribute to the development of these areas which are, at this moment, not well known there. Training content (objective, benefit and expected impact)
Links with industry / industrial relevance (22)

Fields of science

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

Programme(s)

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

Topic(s)

• 0301 - Post-graduate research training grants
• TM21 - Algebra and Number Theory

Call for proposal

Data not available

Funding Scheme

RGI - Research grants (individual fellowships)

Coordinator

UNIVERSITY OF WARWICK

Address

Gibbet Hill Road
CV4 7AL Coventry
United Kingdom