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Contenuto archiviato il 2024-06-12

Algebraic k-theory and topological cyclic homology of rings

Obiettivo



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.

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Programma(i)

Argomento(i)

Invito a presentare proposte

Dati non disponibili

Meccanismo di finanziamento

RGI - Research grants (individual fellowships)

Coordinatore

UNIVERSITY OF OSLO
Contributo UE
Nessun dato
Indirizzo

0316 OSLO
Norvegia
Costo totale
Nessun dato

Partecipanti (1)