CurrGeo · Geodesic currents and geometric structures

Lines connect the coordinator with its partners.

Project 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.

Original text from CORDIS.

Participants

• UNIVERSITE DU LUXEMBOURG · ESCH-SUR-ALZETTECoordinatorLuxembourg
• THE UNIVERSITY OF NOTTINGHAM · NottinghamUnited Kingdom
• UNIVERSITE DE RENNES · RennesFrance

Links

• View on CORDIS
• DOI: 10.3030/101154865
• https://ec.europa.eu/research/participants/documents/downloadPublic?documentIds=080166e52675ac1b&appId=PPGMS