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Nonlinear quotients and geometry of banach spaces

Ziel

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.

Wissenschaftliches Gebiet (EuroSciVoc)

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Thema/Themen

Aufforderung zur Vorschlagseinreichung

FP6-2002-MOBILITY-5
Andere Projekte für diesen Aufruf anzeigen

Finanzierungsplan

EIF - Marie Curie actions-Intra-European Fellowships

Koordinator

UNIVERSITY COLLEGE LONDON
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