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H2020Staff exchange2017–2023

GHAIA · Geometric and Harmonic Analysis with Interdisciplinary Applications

Horizon 2020 — Marie Skłodowska-Curie Actions

Duration
2017-11-01 → 2023-09-30
EU contribution
€1,782,000
Participants
27
Scheme
MSCA-RISE

Lines connect the coordinator with its partners.

Results in brief

Geometric and Harmonic Analysis with Interdisciplinary Applications

GHAIA promoted excellence in pure and applied mathematical research through mobility to the worldwide leading Universities in the field. In USA, Princeton University, the University of California, the Massachusetts Institute of Technology (MIT), the University of Texas, Yale University, Johns Hopkins University, the University of Houston, the University of Pittsburgh, the Washington University (St. Louis), and the Worchester Polytechnical Institute have joined the consortium, together with the Academia Sinica at the University of Taipei, in Asia, and the University of Buenos Aires in South America. Two highly technological enterprises have joined the challenge: Marposs, a world leader in precision equipments for automatic inspection, and GMV, one of the main players in the implementation of the European strategy in the area of satellite navigation. We developed a new integrated framework of geometric and harmonic analysis, which unify in a original picture problems strongly influenced by symmetries and coming from different mathematical and technological fields. In this way we were able to contribute to some of the biggest challenges of this century: data analysis, models of brain functionality, human and artificial vision. The final goal has been to obtain new geometrical instruments of machine vision, to be applied for measurement of industrial processes.

Data: CORDIS, © European Union

Project objective

GHAIA will promote excellence through mobility to the world leader Universities in pure and applied mathematical research: Princeton University, Mit, Yale, Johns Hopkins, the Universities of California, of Texas, of Houston, of Pittsburgh, the Washington University (St. Louis), and the Worchester Polytechnical Institute, the Academia Sinica, the University of Buenos Aires have joined the consortium. European researchers will have the extraordinary opportunity to work in their exciting environment as well as receiving visiting researchers from south America. Moreover two selected enterprises have joined the consortium, allowing intersectorial mobility: Marposs and GMV, leaders in the strategic sectors of EU industry of precision equipments for automatic inspection, and of satellite navigation.Emerging technological problems call for the development of a new integrated framework of geometric and harmonic analysis, which unify in an original picture problems strongly influenced by symmetries and coming from different mathematical and technological fields. The exploitation of groups and supergroups invariances is one of the central goals of harmonic analysis, and nonlocal or nonlinear PDE in group setting present new and unexpected properties. Achievements in these directions are strictly related to a good geometric analysis of the ambient space. With these instruments we will be able to contribute to some of the biggest challenges of this century: data analysis and models of brain functionality. The final goal will be to obtain new geometrical instruments of machine vision, to be applied to develop new products for measurement of industrial processes and for satellite guidance.The international collaborations, through research and secondments, with the extraordinary selected third countries institutions of the consortium, will provide very high level transfer of knowledge and will have a strong impact on the research capability of the EU sending institutions.

Original text from CORDIS.

Participants

  • ALMA MATER STUDIORUM - UNIVERSITA DI BOLOGNA · BolognaCoordinatorItaly
  • ACADEMIA SINICA · TaipeiTaiwan
  • BOARD OF TRUSTEES OF THE LELAND STANFORD JUNIOR UNIVERSITY · STANFORDUnited States
  • CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS · ParisFrance
  • FLORIDA INSTITUTE OF TECHNOLOGY, INC · Melbourne FloridaUnited States
  • GMV AEROSPACE AND DEFENCE SA · Tres CantosSpain
  • JOHNS HOPKINS UNIVERSITY · BaltimoreUnited States
  • MARPOSS SOCIETA PER AZIONI · BENTIVOGLIOItaly
  • MASSACHUSETTS INSTITUTE OF TECHNOLOGY · CambridgeUnited States
  • QUEEN'S UNIVERSITY AT KINGSTON · KingstonCanada
  • THE BOARD OF TRUSTEES OF THE UNIVERSITY OF ILLINOIS · UrbanaUnited States
  • THE REGENTS OF THE UNIVERSITY OF CALIFORNIA · OaklandUnited States
  • THE UNIVERSITY OF MARYLAND FOUNDATIION INC · AdelphiUnited States
  • THE UNIVERSITY OF SYDNEY · SydneyAustralia
  • THE UNIVERSITY OF TEXAS SYSTEM · AustinUnited States
  • THE UNIVERSITY OF WESTERN AUSTRALIA · CrawleyAustralia
  • THE WASHINGTON UNIVERSITY CORPORATION · St LouisUnited States
  • TRUSTEES OF COLUMBIA UNIVERSITY IN THE CITY OF NEW YORK · New YorkUnited States
  • TRUSTEES OF PRINCETON UNIVERSITY · Princeton, NjUnited States
  • UNIVERSIDAD AUTONOMA DE MADRID · MadridSpain
  • UNIVERSIDAD DE BUENOS AIRES · Buenos AiresArgentina
  • UNIVERSIDAD DE GRANADA · GranadaSpain
  • UNIVERSITE PARIS-SACLAY · Gif-Sur-YvetteFrance
  • UNIVERSITY OF HOUSTON SYSTEM · HoustonUnited States
  • UNIVERSITY OF PITTSBURGH · PittsburghUnited States
  • WORCESTER POLYTECHNIC INSTITUTE · WorcesterUnited States
  • YALE UNIVERSITY · New HavenUnited States

Links

Data: CORDIS, © European Union