Objective
"Complex geometry is the study of manifolds that are defined over the complex numbers. Non-archimedean geometry is concerned with analytic spaces over
fields endowed with a norm that satisfies the strong triangular inequality.
The aim of this proposal is to explore the interactions between these seemingly different geometries
with special emphasis on analytic and dynamical problems.
We specifically plan to develop pluripotential theory over non-archimedean fields. This includes the search for analogs of the celebrated Yau's theorem. In a more local setting, we shall also look for possible applications of non-archimedean techniques to the ""Openness Conjecture"" on the structure of singularities of plurisubharmonic functions.
A second axis of research concerns the problem of growth of degrees of iterates of complex rational maps in arbitrary dimensions. We especially aim at extending to arbitrary dimensions the successful non-archimedean techniques that are already available for surfaces.
Finally we want to investigate the geometry of parameter spaces of complex dynamical systems
acting on the Riemann sphere using non-archimedean methods. This requires the development of the bifurcation theory of non-archimedean rational maps."
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: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
- natural sciences mathematics applied mathematics dynamical systems
- natural sciences mathematics pure mathematics geometry
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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-2012-StG_20111012
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
75794 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.