ANGEOM

Geometric analysis in the Euclidean space

 Coordinatore UNIVERSITAT AUTONOMA DE BARCELONA 

Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie.

 Nazionalità Coordinatore Spain [ES]
 Totale costo 1˙105˙930 €
 EC contributo 1˙105˙930 €
 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-2012-ADG_20120216
 Funding Scheme ERC-AG
 Anno di inizio 2013
 Periodo (anno-mese-giorno) 2013-05-01   -   2018-04-30

 Partecipanti

# participant  country  role  EC contrib. [€] 
1    UNIVERSITAT AUTONOMA DE BARCELONA

 Organization address address: Campus UAB -BELLATERRA- s/n
city: CERDANYOLA DEL VALLES
postcode: 8193

contact info
Titolo: Ms.
Nome: Francisca
Cognome: Rabadán Sotos
Email: send email
Telefono: +34 93 5813752

ES (CERDANYOLA DEL VALLES) hostInstitution 1˙105˙930.00
2    UNIVERSITAT AUTONOMA DE BARCELONA

 Organization address address: Campus UAB -BELLATERRA- s/n
city: CERDANYOLA DEL VALLES
postcode: 8193

contact info
Titolo: Prof.
Nome: Xavier
Cognome: Tolsa Domenech
Email: send email
Telefono: 34935814550
Fax: 34935812790

ES (CERDANYOLA DEL VALLES) hostInstitution 1˙105˙930.00

Mappa


 Word cloud

Esplora la "nuvola delle parole (Word Cloud) per avere un'idea di massima del progetto.

harmonic    rectifiability    optimal    ideas    mass    distortion    quantitative    connection    quasicircles    singular    mappings    problem    explore    quasiconformal    question    deal    area    transportation    solution    bounds    integrals    geometric    techniques    theory   

 Obiettivo del progetto (Objective)

'We propose to study different questions in the area of the so called geometric analysis. Most of the topics we are interested in deal with the connection between the behavior of singular integrals and the geometry of sets and measures. The study of this connection has been shown to be extremely helpful in the solution of certain long standing problems in the last years, such as the solution of the Painlev'e problem or the obtaining of the optimal distortion bounds for quasiconformal mappings by Astala. More specifically, we would like to study the relationship between the L^2 boundedness of singular integrals associated with Riesz and other related kernels, and rectifiability and other geometric notions. The so called David-Semmes problem is probably the main open problem in this area. Up to now, the techniques used to deal with this problem come from multiscale analysis and involve ideas from Littlewood-Paley theory and quantitative techniques of rectifiability. We propose to apply new ideas that combine variational arguments with other techniques which have connections with mass transportation. Further, we think that it is worth to explore in more detail the connection among mass transportation, singular integrals, and uniform rectifiability. We are also interested in the field of quasiconformal mappings. We plan to study a problem regarding the quasiconformal distortion of quasicircles. This problem consists in proving that the bounds obtained recently by S. Smirnov on the dimension of K-quasicircles are optimal. We want to apply techniques from quantitative geometric measure theory to deal with this question. Another question that we intend to explore lies in the interplay of harmonic analysis, geometric measure theory and partial differential equations. This concerns an old problem on the unique continuation of harmonic functions at the boundary open C^1 or Lipschitz domain. All the results known by now deal with smoother Dini domains.'

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