Objective
Algebraic geometry is one of the leading fields of the mathematics, and in the last decades its subfield, the theory of singularities became a mainstream research area. Its recent connections with algebraic and differential topology, number theory, arithme tics and combinatorics are really fascinating. All the connections can be seen very clearly in the theory of complex surface singularities. This theory incorporates the rich structure of algebraic/analytic invariants (like the geometric genus, multiplicity ), new topological invariants (e.g. the Casson-Walker or Seiberg-Witten invariants of their links), combinatorics of their resolution graphs involving e.g. Newton diagrams and generalized Dedekind-Fourier sums. This is the area in which the researcher of t he present proposal, András Nemethi, is actively working. The main goal of the proposal is to create a mathematically rich and supporting environment for him by strongly qualified local team of the Renyi Institute of Mathematics, Budapest, Hungary, in orde r to develop the theory and attack the recent important open problems and conjectures in the field. The efforts would be enforced by the complementary skills of the experts at the host in combinatorics and in the Seiberg-Witten theory. In addition the rese archer would receive advanced training in various topics that are important for his future carrier. As a result, we expect a substantial impact in the field by clarification of the hierarchy of numerical surface singularity invariants. Since the researche r originates from Rumania and has been working in the USA for more than a decade, the project contributes towards reversing brain drain. In summary the project fits nicely with the objectives of scientific excellence of the European Research Area and with the objectives of the host institute.
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 topology
- natural sciences mathematics pure mathematics arithmetics
- natural sciences mathematics pure mathematics geometry
- natural sciences mathematics pure mathematics discrete mathematics combinatorics
- 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.
FP6-2002-MOBILITY-5
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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
1364 BUDAPEST
Hungary
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.