LOCALSTRUCTURE

"Local Structure of Sets, Measures and Currents"

Coordinatore	THE UNIVERSITY OF WARWICK    more Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie.
Nazionalità Coordinatore	United Kingdom [UK]
Totale costo	2˙068˙147 €
EC contributo	2˙068˙147 €
Programma	FP7-IDEAS-ERC Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
Code Call	ERC-2011-ADG_20110209
Funding Scheme	ERC-AG
Anno di inizio	2012
Periodo (anno-mese-giorno)	2012-05-01   -   2017-04-30

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	THE UNIVERSITY OF WARWICK  Organization address address: Kirby Corner Road - University House - city: COVENTRY postcode: CV4 8UW contact info Titolo: Dr. Nome: Peter Cognome: Hedges Email: send email Telefono: +44 0 24 7652 3859 Fax: +44 0 24 7652 4991	UK (COVENTRY)	hostInstitution	2˙068˙147.00
2	THE UNIVERSITY OF WARWICK  Organization address address: Kirby Corner Road - University House - city: COVENTRY postcode: CV4 8UW contact info Titolo: Prof. Nome: David Cognome: Preiss Email: send email Telefono: +44 0 2476574828 Fax: +44 0 2476524182	UK (COVENTRY)	hostInstitution	2˙068˙147.00

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 Obiettivo del progetto (Objective)

'The objective of this research proposal is to develop new methods to answer a number of fundamental questions generated by the recent development of modern analysis. The questions we are interested in are specifically related to the study of local structure of sets and functions in the classical Euclidean setting, in infinite dimensional Banach spaces and in the modern setting of analysis on metric spaces. The main areas of study will be:

(a) Structure of null sets and representation of (singular) measures, one of the key motivations being the differentiability of Lipschitz functions in finite dimensional spaces.

(b) Nonlinear geometric functional analysis, with particular attention to the differentiability of Lipschitz functions in infinite dimensional Hilbert spaces and Banach spaces with separable dual.

(c) Foundations of analysis on metric spaces, the key problems here being representation results for Lipschitz differentiability spaces and spaces satisfying the Poincar'e inequality.

(d) Uniqueness of tangent structure in various settings, where the ultimate goal is to contribute to the fundamental problem whether minimal surfaces (in their geometric measure theoretic model as area minimizing integral currents) have a unique behaviour close to any point.'