Objective
The basic objectives of the project include:
analysis of fundamental geometric and algebraic structures arising in
equations of mechanics and mathematical physics;
application of modern cohomological methods to equations of mechanics and
mathematical physics, including construction Poisson (Hamiltonian)
structures, rrsion operators, series of symmetries and conservation laws;
generalization of the classical symmetry approach to nonlocal (including
integro-differential) and superdifferential equations;
development of algebraic and cohomological methods in the field theory and
their applications to BRST cohomologies and gauge invariant equations;
computations for particular equations of mechanics and mathematical physics;
development of computational methods for quantum symmetries
development of computer algebra systems to support these computations. The expected results of the Project are:
theoretical foundations of symmetry and cohomology approach to equations of
mechanics and mathematical physics;
analysis of specific problems of mechanics and mathematical physics,
including construction of determining equations for symmetries, conservation
laws, rrsion operators and Poisson structures, qualitative analysis of
these equations and creation of adequate nonlocal settings;
generalizations of symmetry and cohomology approach onto
integro-differential equations and construction of the corresponding
determining equations for basic invariants (see above);
analysis of cohomology invariants for gauge-invariant equations in relation
to field theory;
symbolic computations of symmetries, conservation laws, rrsion operators
and Poisson structures for specific equations of mechanics and mathematical
physics;
computer algebra systems for symbolic computations in the fields of
research. Dissemination of results:
preliminary and final reports will be accessible via Internet facilities in
the form of preprints;
final results will be published as journal papers;
publication of monographs in the field of research is planned (a preliminary
agreement with the Kluwer Academic Publishers has been made for two such
monographs).
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.
Data not available
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.
Data not available
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
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.
Data not available
Coordinator
198SJ Amsterdam
Netherlands
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.