Objective
We propose a project on the interaction of algebra and geometry, more precisely representation theory of finite dimensional algebras and geometric invariant theory. The main objective is to study moduli spaces and stability conditions for derived categories of finite dimensional algebras.
When studying families of objects in derived categories of finite dimensional algebras, there are two approaches, which have proven to be useful. One is the varieties of complexes of projective modules, and the another is varieties of A-infinity modules. Both of these approaches allows for explicitly described affined varieties, such that quasi-isomorphism classes in the derived category correspond to orbits under the action of an algebraic group. The researcher will use both these approaches. He will study stable and semi-stable complexes. He will also investigate the geometric properties of the obtained moduli spaces. In particular he will look for explicit descriptions of when they are smooth and projective, and when they give geometric quotients on stable complexes.
An important aim of the project will be to explicitly study moduli problems in derived categories of important classes of algebras, for example canonical algebras and Koszul algebras. Whenever possible, in view of applications, the researcher will concentrate on classes of algebras which via equivalences, are related to derived categories from outside representation theory, for example 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.
- 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.
FP6-2005-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
PARIS
France
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.