Objective
"It is our natural desire to understand the structure of the space-time that we live in. This can be described in mathematical terms as a 4-dimensional space, or ""manifold"". Surprisingly, dimension 4 is the most mysterious and elusive of all dimensions. In dimensions both lower and higher than 4, we have a rather clear picture about questions related to continuity and differentiability properties. By contrast, dimension 4 is highly irregular in many significant aspects, and, despite several breakthrough results in the past fifty years, we still do not have a panoramic view of the landscape of 4-dimensional spaces.
The doctoral network Top-SCoLDS will prepare a new generation of researchers to answer deep questions related to 4-dimensional manifolds. The subject can be approached from many perspectives, including algebraic and symplectic-contact geometry, geometric topology, knot theory, partial differential equations, and artificial intelligence. Top-SCoLDS will take a diversified approach to questions about 4-dimensional manifolds, leveraging the members' complementary expertise.
Top-SCoLDS will bring together world-leading experts in these fields, who will join their efforts to provide a comprehensive educational path for 12 PhD students. The students will be exposed to diverse tools and techniques to attack cutting-edge research questions on 4-manifolds, giving them a wide perspective on the subject and the opportunity to thrive in this active research area.
The PhD students will benefit from research, education, and complementary skills training. They will receive training from world leaders in the theory and application of machine learning, AI, and topological data analysis, and from a wide range of non-academic and industrial partners. This will enable these students to innovate, collaborate, and become leading professionals in mathematics, and will ensure that they can apply their skills beyond the academic context and excel in the industrial sector too."
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 topology
- 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-DN - HORIZON TMA MSCA Doctoral Networks
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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-2024-DN-01
See all projects funded under this callCoordinator
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.
1053 BUDAPEST
Hungary
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.