Objective
The first main objective of this proposal is to determine topological and Floer-theoretic obstructions to the existence of embedded Maslov-zero Lagrangian desingularizations of special Lagrangian (SL) cones. In particular, several such obstructions are expected to arise from the application of Contact homology techniques to the boundary of a neighbourhood of the singular point.
The second main objective is to develop an analytic theory of singular, asymptotically conical, SL submanifolds: specifically, it w ill address deformation and gluing issues.
These results will rely on a combination of analytic methods previously used both by the proposed researcher and by the scientist in charge, and of gluing techniques developed by the scientist in charge.
The above results will allow for a better understanding of which SL singularities can be desingularized, and thus of how to compactify SL moduli spaces.
This compactification problem is the main obstacle to the construction of new geometric invariants based on SLs. It is also directly related to applications to Mirror Symmetry and to String Theory.
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
OXFORD
United Kingdom
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.