报告题目：Recent progresses in spherical geometry  (I, II)

报告人：Guillaume Tahar（BIMSA 北京雁西湖应用数学研究院）

时间：2023年8月8日 9:00-11:30

地点：二教2321

报告摘要：

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.