Objective
Singularity theory is a transversal research subject in which many different techniques converge (algebraic, analytical, geometric, topological), with different perspectives (local, global), but with a very strong interconnection. Our research involves the study of analytic singularities from different perspectives. Specific topics are the vanishing cohomology of singularities with its D-module and Hodge structure, the topology of the Milnor fibre, the embedded topology of the link, topological equisingularity, versal deformations and their base spaces with additional structure (such as Frobenius manifolds), invariants of surface singularities, rational cuspidal curves, global polynomial mappings, hyperesolutions and descent categories. More concretely we intend to work at the following topics and their interactions: 1.- Study a new class of non-isolated singularities introduced by the applicant which already had striking applications. Study the sheaf of vanishing cycles of non-isolated singularities. 2.- Develop a new program towards characterisation of topological equisingularity and apply it to the study of global polynomial mappings. Study several old fundamental questions in topological equisingularity such as the µ-constant problem. 3.- Study some conjectures on rational cuspidal plane curves, Q-acyclic open surfaces and normal surface singulatities with rational homology sphere links, via algebra-geometric and topological techniques. 4.- Study specific problems on configurations of varieties and their complements 5.- Study moduli of polynomial maps and algebraic endomorphisms. 6.- Study descent categories and applications to D-modules, Hodge Theory and Singularity 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.
You need to log in or register to use this function
We are sorry... an unexpected error occurred during execution.
You need to be authenticated. Your session might have expired.
Thank you for your feedback. You will soon receive an email to confirm the submission. If you have selected to be notified about the reporting status, you will also be contacted when the reporting status will change.
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.
ERC-2007-StG
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.
Host institution
28006 MADRID
Spain
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.