Speaker: Guillaume Tahar（BIMSA）
Time: 09:00-11:30, August 8, 2023
Room: Room 2321, the Second Teaching Building
Cone spherical metrics with dihedral monodromy correspond to a certain class of quadratic differentials with at worst double poles. It follows that these differentials can be interpreted in terms of both spherical and flat geometry. The characterization of arrays of conical angles realized by cone spherical metrics with dihedral monodromy is then deduced from the Riemann-Hilbert problem of existence of quadratic differentials with prescribed local invariants.
In a second part of the talk, we generalize the notions of core and polar domains to spherical geometry. As an application, we give an asymptotic description of spherical surfaces with a large total conical angle.
