Objective
The GALA is an Adventure STREP that will pioneer explorative instruments of mathematical geometric analysis in Lie groups and will provide on solid analytic basis novel modellistic tools for applications to vision and hearing and to magnetic resonance tomography. Sub Riemannian geometric analysis in Lie groups is an innovative field of scientific research, which considers the description of strongly non- isotropic systems.
In particular it models the motion of a system in which some directions are not allowed by a constraint that is not necessarily a physical constraint, but that can be a differential one e.g. a magnetic field. The allowed directions of motion are called horizontal directions and are described through vector fields. These vector fields play t he role of derivatives in classical calculus all the theorems of analysis and differential geometry have to be rephrased in terms of these new instruments. We will need to define from a purely mathematical point of view, the main properties of the objects of the space, with instruments of Sub-Riemannian differential geometry, anisotropic partial differential equations of sub-elliptic and ultra-parabolic type and geometric measure theory in Lie groups. Results in this field will allow facing long- standing o pen problems in mathematics, which cannot be dealt with standard instruments. We will see that these instruments can be used to formalize models of the functional geometry of the cortex, and in particular to describe vision and hearing.
Magnetic MRI induces rotation in the spin of the atoms and will be described in the Lie group of rotations. Quasi-linear mapping will describe composite media in material science. Finally we will need to develop numerical instruments in this anysotropic setting, in order to validate our results. The interaction within an interdisciplinary team will help in individuate the geometrical and analytic aspects more suited for the description of the different problems.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences mathematics pure mathematics geometry
- natural sciences mathematics pure mathematics mathematical analysis differential equations partial differential equations
- natural sciences mathematics pure mathematics algebra algebraic geometry
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP6-2004-NEST-C-1
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Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
BOLOGNA
Italy
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.