Objective
Calabi-Yau manifolds arise naturally in algebraic geometry as objects with certain special structures. In theoretical physics these geometric objects define super symmetric models of the universe via string theory. String theory in turn constructs a hierarchy of functions on the parameter space of Calabi-Yau manifolds, the so-called higher potential functions. In the context of algebraic geometry, the mathematical understanding of potential functions is far from complete. The aim of this project is to develop the understanding of higher potential functions by analogy with the well-understood case of tree-level (level 0) functions. In more detail, the objectives of the project are the following:-Interpret mathematically the computations of closed string higher-level potential functions on Calabi-Yaumoduli spaces found in the physics literature; establish the connection of potential functions and categories defined by the geometric objects; apply the obtained mathematical constructions to the study of parameter spaces of geometric objects, and-analyse the correspondence between spaces of matrices and open strings on families of Calabi-Yaumanifolds, recently discovered by physicists; in particular, compare symmetries of the two sides. The project involves an interdisciplinary component, aiming to bridge a gap between mathematics and theoretical physics. It also involves a training component, developing expertise of the Researcher in areas where the host institution has particular strengths: matrix models, Hodge theory and representation theory.
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 string theory
- natural sciences mathematics pure mathematics geometry
- natural sciences mathematics pure mathematics algebra algebraic geometry
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
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
UTRECHT
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.