Blanc SIMI 1 - Sciences de l'information, de la matière et de l'ingénierie : Mathématiques et interactions

K-theory and index theory – KInd

Submission summary

The goal of this project is to gather mathematicians working on questions related to index theory in noncommutative geometry. Let us mention a few research themes:

- index theorem for noncommutative spaces (stratified manifolds, foliations, Lie groupoids...);
- study of necessary tools for these index problems (K-theory, cyclic cohomology, pseudodifferential operators...);
- the Baum-Connes conjecture and the computation of K-theory groups of certain operator algebras associated to noncommutative spaces;
- secondary invariants;
- applications of index theory (quasicrystals, higher signatures...).

We intend to organize working group seminars, a small workshop and an international conference. In addition, we hope to hire post-docs working on a related subject.

Project coordinator

Monsieur Jean Louis TU (CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE - DELEGATION REGIONALE CENTRE-EST) – tu@univ-metz.fr

The author of this summary is the project coordinator, who is responsible for the content of this summary. The ANR declines any responsibility as for its contents.

Partner

IMT UNIVERSITE TOULOUSE III [PAUL SABATIER]
LMAM CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE - DELEGATION REGIONALE CENTRE-EST
IMJ UNIVERSITE DE PARIS VII [DENIS DIDEROT]
UBP UNIVERSITE BLAISE PASCAL - CLERMONT-FERRAND II

Help of the ANR 200,000 euros
Beginning and duration of the scientific project: - 48 Months

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