CurrGeo | Geodesic currents and geometric structures

Summary
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.
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More information & hyperlinks
Web resources: https://cordis.europa.eu/project/id/101154865
Start date: 15-06-2025
End date: 14-06-2027
Total budget - Public funding: - 191 760,00 Euro
Cordis data

Original description

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.

Status

SIGNED

Call topic

HORIZON-MSCA-2023-PF-01-01

Update Date

06-11-2024
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Horizon Europe
HORIZON.1 Excellent Science
HORIZON.1.2 Marie Skłodowska-Curie Actions (MSCA)
HORIZON.1.2.0 Cross-cutting call topics
HORIZON-MSCA-2023-PF-01
HORIZON-MSCA-2023-PF-01-01 MSCA Postdoctoral Fellowships 2023