Matings, Holomorphic Correspondences, and a Bers Slice
发布时间：2023年06月12日
浏览次数：2347
发布者: He Liu
主讲人： Sabyasachi Mukherjee (Tata Institute of Fundamental Research)
活动时间： 从 2023-06-16 16:00 到 17:00
场地： 线上
There are two frameworks for mating Kleinian groups with rational maps on the Riemann sphere: an algebraic correspondence framework due to Bullett-Penrose-Lomonaco and an orbit equivalence mating framework using Bowen-Series maps. The latter is analogous to the Douady-Hubbard theory for polynomial mating. We will discuss how these two frameworks can be unified and generalized. As a consequence, we will construct holomorphic correspondences that are matings of hyperbolic orbifold groups (including Hecke groups) with Blaschke products. Time permitting, we will introduce an analog of a Bers slice of the above orbifolds in the algebraic parameter space of correspondences.
Based on joint work with Mahan Mj.
Zoom ID: 852 0183 6977
Password: 111111
