Objective
Since the concept of group was clarified by Evariste Galois in 1832 for the theory of equations, group theory has become a leading field in mathematics and spred its influence in many scientific domains. Felix Klein showed its dominant role in geometry; Joseph Fourier started representation theory, Sophus Lie introduced the continuous transformation groups. Group theory contributes decisively to physics (relativity, thermodynamics, elementary particles, field theory, quantum mechanics?) chemistry (christallography, molecular dynamics), and biology (braid groups and ADN).
Harish-Chandra, who started his research under P.A.M. Dirac, made considerable progress in representation theory of Lie groups. Then, R. -P. Langlands predicted a functoriality between deep questions in arithmetic on one side, and harmonic analysis on Lie groups on the other side. The power of this correspondence appears also in the recent proof by Wiles of the Last Fermat Theorem.
The preceding schools (every year since 1991, most of them supported by the European Community through HCM and TMR programs) were extremely positive. Bringing together students and post-docs from many European countries and even outside the European Community (Africa, America), these schools encourage cooperation and more balanced development inside Europe in the field of group theory. Moreover, a special effort is made to attract participants form less-favoured regions.
There are continuous requests for the notes of these Summer schools. Two sessions were published as books in the series Perspective of Mathematics.
ftp://ftp.cordis.lu/pub/improving/docs/HPCF-1999-00241-1.pdf(opens in new window)
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 physical sciences theoretical physics particle physics
- natural sciences physical sciences quantum physics
- natural sciences physical sciences thermodynamics
- natural sciences mathematics pure mathematics arithmetics
- 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.
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Funding Scheme
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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
Denmark
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.