Spherical surfaces and related topics

The workshop will be devoted to the study of surfaces with special metrics with singularities of conical type. In particular it will focus on the case of spherical metrics, namely Riemannian metrics of curvature 1. Such metrics have been studied from many points of view, using tools coming from synthetic geometry, complex analysis and partial differential equations. The aim of the meeting is to bring together people with different backgrounds to discuss recent developments, techniques and open questions in the areas of spherical surfaces with conical points, projective structures with singularities and their monodromy, solutions of the singular Liouville equation, polyhedral spherical surfaces, polygonal linkages.

Topics: Special metrics with conical singularities, singular Liouville equation, complex projective structures, moduli spaces, representation spaces, monodromy