The scientific objective of the project is to develop new and highly sophisticated instruments of metric analysis with applications to the large spectrum of emergent technological fields from human to computer vision, to traffic dynamics. New European Doctoral Programme will be devoted to the training of young researchers on this new frontier of mathematics and its applications.
Metric analysis, allows to reconsider differential problems, in rich geometrical setting, non isotropic or non regular. Totally non isotropic geometrical settings, arise while describing the motion of a system in which some directions are not allowed by a constraint, as models of the visual cortex, robotics, and will be studied with instruments of differential subriemannian analysis. They non regular counter part, as rectifiable objects can be studied with instruments of metric measure, mass transportation, and singular integrals. Long standing open problems in mathematics, which cannot be solved a single instrument of differential, metric or of measure theory, will be afforded with this unitary theory. At the same time these results will open the possibility of affording challenging technological problems. Geometric analysis in Lie groups provides an elegant tool for modelling the modular structure of the visual cortex. New Brain-inspired models of computer vision allow to efficiently handle medical images and MRI data. A mathematical theory can model with the same instruments transport of the visual signal and in a road net. Hence we propose a new training through research programme within a consrtium of 9 Academic partners and 3 private. The aspects of the program are:
Individual Research program with structured courses
Network-wide multidisciplinary training events with private sector participation,
Secondments through other research centres or private companies,
The training program can open a large spectrum of opportunities of career development, in academic and private world.
Coordinator: ALMA MATER STUDIORUM – UNIVERSITÀ DI BOLOGNA
- Dipartimento di Matematica-MAT
- Resp. Scientifico: Prof.ssa Giovanna Citti
Other participants:
Universita Degli Studi Di Trento (Italy)
Helsingin Yliopisto (Finland)
Jyvaskylan Yliopisto (Finland)
Universite Paris-Sud XI (France)
CNRS-Centre National De La Recherche Scientifique (France)
Universitat Autonoma De Barcelona (Spain)
Universitaet Bern (Switzerland)
Technische Universiteit Eindhoven (The Netherlands)
Start date 01/03/2014
End date 28/02/2018
Duration 48 months
Project Reference 607643
Project cost 3.663.976 EURO
Project Funding 3.663.976 EURO
Area FP7- PEOPLE
Subprogramme Area Marie-Curie Actions-Initial Training Networks (ITN)
Contract type Initial Training Networks (ITN)