Objective
Algebraic geometry, which roughly speaking studies geometric objects defined by polynomials (called varieties), is one of the largest fields in mathematics today and has wide applications both in technology and physics.
Classifying varieties is one of the most important topics in the field and has undergone a major development in the past 20 years. Despite the fact that many new results have been proved, many questions still remain open. The aim of the project is to develop further, generalize and find more applications of a new method recently developed by the researcher and the scientist in charge at the host institution and already applied successfully to certain three-dimensional varieties.
The method is based upon reducing classification questions to the study of certain maps on curves in the varieties and works particularly well when the varieties have "many'' subvarieties. The project especially aims at finding results for important varieties arising in modern classification theory, such as Mori fiber spaces and Calabi-Yau varieties. The latter constitute a big gap in today's knowledge, because the existing methods are insufficient.
At the same time Calabi-Yau varieties play a very important role in modern theoretical physics, so any result on their classification will be of big interest also outside of algebraic geometry. The project will make the researcher increase his research skills on higher dimensional varieties and allow him to collaborate with many experts, both in the area of the project and in many areas complementary to it.
As he will coordinate the collaborations and regularly present the latest results in seminars, he will improve both his leading and presentation skills. A further aim is to build the basis for a long time interaction between Norway and Italy in algebraic geometry.
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.
- engineering and technology materials engineering fibers
- natural sciences physical sciences astronomy physical cosmology big bang
- natural sciences mathematics pure mathematics geometry
- natural sciences mathematics pure mathematics algebra algebraic geometry
- natural sciences physical sciences theoretical physics
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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-MOBILITY-5
See other projects for this call
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
ROMA
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.