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Content archived on 2024-05-14

Properties of gamma homology of commutative rings and e infinity ring spectra

Objective



The aim of the proposal is to explore several theoretical problems relating to the title, including: * The relationship of gamma homology to other theories such as topological Hochschild and cyclic homology and algebraic K-theory.
* Calculations of gamma homology groups, for example for
polynomial algebras. * The development of a cyclic version of gamma homology, including study of its properties, its relationship to ordinary gamma homology and calculations of cyclic gamma homology groups. * The properties of discrete commutative algebras captured by gamma homology. * Decompositions of the Eulerian representations of the symmetric group into irreducibles.
I also aim to * Broaden my understanding of topological Hochschild and cyclic homology, MacLane homology and K-theory. * Develop contacts with the many active researchers in France working in this area.

Fields of science (EuroSciVoc)

Programme(s)

Topic(s)

Call for proposal

Data not available

Funding Scheme

RGI - Research grants (individual fellowships)

Coordinator

UNIVERSITÉ DE PARIS-NORD XIII
EU contribution
No data
Address
Avenue J.B. Clément
93430 VILLETANEUSE
France
Total cost
No data

Participants (1)