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GHAIA SIGNED

Geometric and Harmonic Analysis with Interdisciplinary Applications

Total Cost €

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EC-Contrib. €

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Partnership

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 GHAIA project word cloud

Explore the words cloud of the GHAIA project. It provides you a very rough idea of what is the project "GHAIA" about.

models    mobility    biggest    unify    nonlocal    setting    america    pittsburgh    transfer    supergroups    pure    harmonic    sectors    picture    symmetries    groups    california    industry    navigation    machine    final    leaders    collaborations    goals    leader    influenced    gmv    coming    directions    guidance    instruments    geometrical    inspection    receiving    intersectorial    central    sending    geometric    st    polytechnical    texas    louis    automatic    ambient    opportunity    hopkins    yale    obtain    satellite    universities    aires    princeton    enterprises    data    invariances    group    precision    industrial    academia    unexpected    framework    excellence    technological    sinica    capability    strictly    space    marposs    world    countries    ghaia    secondments    mit    south    brain    university    nonlinear    buenos    houston    johns    century    achievements    joined    vision    pde    original    mathematical    extraordinary    environment    washington    good    visiting    strategic    worchester    international   

Project "GHAIA" data sheet

The following table provides information about the project.

Coordinator
ALMA MATER STUDIORUM - UNIVERSITA DI BOLOGNA 

Organization address
address: VIA ZAMBONI 33
city: BOLOGNA
postcode: 40126
website: www.unibo.it

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Italy [IT]
 Total cost 1˙930˙500 €
 EC max contribution 1˙782˙000 € (92%)
 Programme 1. H2020-EU.1.3.3. (Stimulating innovation by means of cross-fertilisation of knowledge)
 Code Call H2020-MSCA-RISE-2017
 Funding Scheme MSCA-RISE
 Starting year 2017
 Duration (year-month-day) from 2017-11-01   to  2021-10-31

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    ALMA MATER STUDIORUM - UNIVERSITA DI BOLOGNA IT (BOLOGNA) coordinator 513˙000.00
2    UNIVERSIDAD AUTONOMA DE MADRID ES (MADRID) participant 765˙000.00
3    CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS FR (PARIS) participant 180˙000.00
4    UNIVERSIDAD DE GRANADA ES (GRANADA) participant 135˙000.00
5    GMV AEROSPACE AND DEFENCE SA ES (TRES CANTOS) participant 72˙000.00
6    MARPOSS SOCIETA PER AZIONI IT (BENTIVOGLIO) participant 63˙000.00
7    UNIVERSITE PARIS-SACLAY FR (SAINT AUBIN) participant 54˙000.00
8    Marposs SpA IT (Bentivoglio) participant 0.00
9    UNIVERSITE PARIS-SUD FR (ORSAY CEDEX) participant 0.00
10    ACADEMIA SINICA TW (TAIPEI) partner 0.00
11    BOARD OF TRUSTEES OF THE LELAND STANFORD JUNIOR UNIVERSITY US (STANFORD) partner 0.00
12    JOHNS HOPKINS UNIVERSITY US (BALTIMORE) partner 0.00
13    MASSACHUSSETTS INSTITUTE OF TECHNOLOGY MIT CORPORATION US (CAMBRIDGE) partner 0.00
14    Queen's University at Kingston CA (Kingston) partner 0.00
15    THE BOARD OF TRUSTEES OF THE UNIVERSITY OF ILLINOIS US (CHAMPAIGN) partner 0.00
16    THE REGENTS OF THE UNIVERSITY OF CALIFORNIA US (OAKLAND CA) partner 0.00
17    THE UNIVERSITY OF TEXAS SYSTEM US (AUSTIN) partner 0.00
18    THE UNIVERSITY OF WESTERN AUSTRALIA AU (CRAWLEY) partner 0.00
19    THE UNIVERSITY SYSTEM OF MARYLAND FOUNDATION, INC. US (ADELPHI) partner 0.00
20    THE WASHINGTON UNIVERSITY CORPORATION US (ST LOUIS) partner 0.00
21    TRUSTEES OF COLUMBIA UNIVERSITY IN THE CITY OF NEW YORK US (NEW YORK) partner 0.00
22    TRUSTEES OF PRINCETON UNIVERSITY US (PRINCETON, NJ) partner 0.00
23    UNIVERSIDAD DE BUENOS AIRES AR (BUENOS AIRES) partner 0.00
24    UNIVERSITY OF HOUSTON SYSTEM US (HOUSTON) partner 0.00
25    UNIVERSITY OF PITTSBURGH US (PITTSBURGH) partner 0.00
26    WORCESTER POLYTECHNIC INSTITUTE US (WORCESTER) partner 0.00
27    YALE UNIVERSITY US (NEW HAVEN) partner 0.00

Map

 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.

 Deliverables

List of deliverables.
Outreach presentations Websites, patent fillings, videos etc. 2020-03-19 14:05:17
Infinite dimensional representation Documents, reports 2020-02-07 15:50:03
image analysis and vision Documents, reports 2020-02-07 15:50:01
minimal surfaces and geometric PDE Documents, reports 2020-02-07 15:50:04
sampling in group invariant spaces Documents, reports 2020-02-07 15:50:13
degenerate PDE Documents, reports 2020-02-07 15:50:04
reproducing kernel spaces and Fourier analysis Documents, reports 2020-02-07 15:50:00
nonlocal and non linear PDE Documents, reports 2020-02-07 15:50:04

Take a look to the deliverables list in detail:  detailed list of GHAIA deliverables.

 Publications

year authors and title journal last update
List of publications.
2019 P.M. Berna, J. D. Rossi
Nonlocal diffusion equations with dynamical boundary conditions
published pages: , ISSN: 0362-546X, DOI:
Nonlinear Analysis, Theory, Methods and Applications 2020-03-19
2019 Noemi Montobbio, Giovanna Citti, Alessandro Sarti
Correction to: From receptive profiles to a metric model of V1
published pages: 231-231, ISSN: 0929-5313, DOI: 10.1007/s10827-019-00728-2
Journal of Computational Neuroscience 47/2-3 2020-03-19
2019 Davide Barbieri, Eugenio Hernández, Azita Mayeli
Calderón-type inequalities for affine frames
published pages: , ISSN: 1063-5203, DOI: 10.1016/j.acha.2019.07.004
Applied and Computational Harmonic Analysis 2020-03-19
2017 J. Aramayona, L. Funar
Asymptotic mapping class group of closed surfaces punctured along Cantor sets
published pages: , ISSN: 1609-3321, DOI:
Moscow Mathematical Journal 2020-03-19
2019 Matteo Bonforte, Nikita Simonov
Quantitative a priori estimates for fast diffusion equations with Caffarelli–Kohn–Nirenberg weights. Harnack inequalities and Hölder continuity
published pages: 1075-1161, ISSN: 0001-8708, DOI: 10.1016/j.aim.2019.01.018
Advances in Mathematics 345 2020-03-19
2020 Rita Fioresi, Pratik Chaudhari, Stefano Soatto
A Geometric Interpretation of Stochastic Gradient Descent Using Diffusion Metrics
published pages: 101, ISSN: 1099-4300, DOI: 10.3390/e22010101
Entropy 22/1 2020-03-19
2019 Matteo Bonforte, Alessio Figalli
Sharp Extinction Rates for Fast Diffusion Equations on Generic Bounded Domains
published pages: , ISSN: , DOI:
arxiv.org 2020-03-19
2019 D. Barbieri, C. Cabrelli, E. Hernández, U. Molter
Approximation by group invariant subspaces
published pages: , ISSN: , DOI:
arxiv.org 2020-03-19
2019 Jezabel Curbelo, Carlos R. Mechoso, Ana M. Mancho, Stephen Wiggins
Lagrangian study of the final warming in the southern stratosphere during 2002: Part I. The Vortex Splitting at Upper Levels
published pages: , ISSN: , DOI:
arxiv.org 2020-03-19
2019 Noemi Montobbio, Giovanna Citti, Alessandro Sarti
From receptive profiles to a metric model of V1
published pages: , ISSN: , DOI:
arxiv.org 2020-03-19
2018 Giovanna Citti, Alessandro Sarti
Neurogeometry of perception: isotropic and anisotropic aspects
published pages: , ISSN: , DOI:
arxiv.org 2020-03-19
2018 Noemi Montobbio, Alessandro Sarti, Giovanna Citti
A metric model for the functional architecture of the visual cortex
published pages: , ISSN: , DOI:
arxiv.org 2020-03-19
2018 C. Carmeli, R. Fioresi, V. S. Varadarajan,
Highest weight Harish-Chandra supermodules and their geometric realizations
published pages: , ISSN: , DOI:
2020-03-19
2018 D. Barbieri, E. Hernández, V. Paternostro,
Invariant spaces under unitary representations of discrete groups
published pages: , ISSN: , DOI:
2020-03-19
2018 L. Capogna, G. Citti, E. Le Donne, A. Ottazzi,
Conformality and Q-harmonicity in Sub-Riemannian manifolds
published pages: , ISSN: , DOI:
2020-03-19
2017 Luca Capogna, Giovanna Citti, Enrico Le Donne, Alessandro Ottazzi
Conformality and Q -harmonicity in sub-Riemannian manifolds
published pages: , ISSN: 0021-7824, DOI: 10.1016/j.matpur.2017.12.006
Journal de Mathématiques Pures et Appliquées 2020-03-19

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