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Nonlinear quotients and geometry of banach spaces

Objectif

It is proposed to study a number of the open questions in the general area of non-linear geometric functional analysis. The research in this area involves a rich interplay between classical analysis, geometry of Banach spaces, geometric measure theory, topology and combinatorics.

Some of the specific questions we would wish to consider are:
- Lower bounds for the volume ratios of Lipschitz quotient mappings.
- Gorelik principle for Lipschitz quotient mappings with constants close to one.
- Quas irregularity of Lipschitz quotient mappings between spaces of the same (finite) dimension.
- Linearisation of Lipschitz mappings, in particular in infinite dimensional spaces.

The applicant's work to date has contributed to the first two topics. The proposed work would thus continue this earlier work in a logical fashion, and also extend it into related areas which are currently very active. A major objective of the proposed research is to extend and diversify the applicant's fields of expertise, by allowing her the opportunity to collaborate with one of the most active groups of mathematicians working in her area.

Champ scientifique (EuroSciVoc)

Mots‑clés

Thème(s)

Appel à propositions

FP6-2002-MOBILITY-5
Voir d’autres projets de cet appel

Régime de financement

EIF - Marie Curie actions-Intra-European Fellowships

Coordinateur

UNIVERSITY COLLEGE LONDON
Contribution de l’UE
Aucune donnée
Adresse
Gower Street
LONDON
Royaume-Uni
Coût total
Aucune donnée