Objective
This interdisciplinary project brings together innovative ideas and techniques from algebraic geometry and complex analytic geometry, singularity theory, commutative algebra and topology. Given two complex analytic varieties X and X' that are part of an analytic family in a complex affine space we will study the relationships between the different similarities X and X' might share. Such similarities can be of geometric and topological nature.The synonym for similarity we will use here is equisingularity. We say X and X' are topologically equisingular if there is a homeomorphism between X and X' that extends to an ambient homomorphism that trivializes the entire family; we say that X and X' are geometrically equisingular if X and X' have similar resolution of singularities, or if a resolution of the entire family induces a resolution of each fiber. Understanding the topology of either X or X' usually involves a continuous deformation of either one of them to a smooth variety, the existence of which is guaranteed under a special smoothability hypothesis. A stronger version of topological equisingularity, called Lipschitz equisingularity, asks for a homeomorphism between X and X' that satisfies the Lipschitz inequality. The ultimate goal of the project is to gain insight in the relationships between topological (Lipschitz) and geometric equisingularity and develop an approach to study the topology of singularities that are not necessarily smoothable without imposing special dimension (or codimension) assumptions as was done previously.
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.
- engineering and technology materials engineering fibers
- natural sciences mathematics pure mathematics topology
- natural sciences mathematics pure mathematics algebra
- natural sciences mathematics pure mathematics 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.
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HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA)
MAIN PROGRAMME
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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.
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.
HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships
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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.
(opens in new window) HORIZON-MSCA-2022-PF-01
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Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
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.