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.
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
SIGNEDCall topic
HORIZON-MSCA-2023-PF-01-01Update Date
22-11-2024
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