Objective
We will look for proving a number of different results in Deformation Theory and Moduli Spaces in algebraic geometry. In our project, we will mainly use the modern language of algebraic geometry, based on DGLAs and L-infinity algebras.
As first objective, we seek to give an explicit description of the DGLA controlling infinitesimal deformations of morphisms of schemes.
We will also try to extend this construction to the case of morphisms of stacks. In particular, we will be dealing with the key case of morphisms from a singular curve in a smooth variety (like the case of stable maps).
Once we have the DGLA for this problem, we will attempt to define a semiregularity map.
By semi-regularity map we mean a map whose kernel contains all obstructions to deformations. This map will allow us to handle the problem of obstructions, providing a technical tool to understand the local behavior of the associated moduli space (in particular the one of stable maps).
Moreover, we will try to apply these techniques to construct new examples of dg-schemes and dg- manifolds.
Finally, we will seek to use all these new tools for computing new Gromov-Witten invariants. Mainly, we will be dealing with the cases in which the classical theory fails, working out new examples of reduced Gromov-Witten invariants.
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
You need to log in or register to use this function
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.
FP7-PEOPLE-2010-IEF
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
SW7 2AZ London
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.