17:45 | Thomas Mettler (Frankfurt) | Extremal conformal structures on projective surfaces Given a prescription of paths on a surface — one for every direction in each tangent space — one might ask if those paths are the geodesics of a Riemannian metric. Generically they are not, hence one might look for a Riemannian metric whose geodesics are ‘as close as possible’ to the prescribed paths. This gives rise to a natural variational problem. In this talk I will discuss how its critical points relate to certain weakly conformal maps and complex geometry.
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