Project description
Study explores the intrinsic geometry of the space of geodesic currents
Geodesic currents are measures on the space of geodesics of a hyperbolic surface, extending the concept of weighted closed curves. Hyperbolic surfaces have a constant negative curvature, and the space of geodesic currents provides a suitable closure for these weighted curves. This space has proven essential in developments in hyperbolic geometry, Bers-Teichmueller theory and 3-manifold geometry. Funded by the Marie Skłodowska-Curie Actions programme, the CurrGeo project will study the intrinsic geometry of the space of geodesic currents, further building on its applications and uncover new connections with physics, especially in the context of conformal field theories. Project results may have implications for character varieties and geometric group theory.
Objective
This project will study the intrinsic geometry of the space of geodesic currents of a hyperbolic surface, a suitable closure of the space of weighted closed curves containing many geometric structures. This space has been crucial in many technical developments in the field of hyperbolic geometry, Bers-Teichmueller theory and the geometry of 3-manifolds. Recently, it has permeated into other fields of mathematics, such as compactifications of character varieties or geometric group theory.
The goal of the project is to further these applications and unveil new connections with physics, in the setting of conformal field theories.
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.
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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-2023-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.
4365 ESCH-SUR-ALZETTE
Luxembourg
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.