Sabyasachi Mukherjee (Tata Institute of Fundamental Research)
2:00 PM - 3:00 PM
Hylan 1106A & Zoom ID 965 366 89358
In the 1990s, Bullett and Penrose introduced a family of algebraic correspondences on the Riemann sphere whose members often arise as matings of the modular group with quadratic rational maps. We will formulate a general construction of such correspondences in both holomorphic and anti-holomorphic settings. We will then discuss how matings of large classes of holomorphic and anti-holomorphic rational maps with Hecke groups can be realized in our correspondence framework. Time permitting, we will talk about parameter spaces of natural one-parameter families of correspondences that can be thought of as anti-holomorphic generalizations of the Bullett-Penrose family.
Based on joint works with Seung-Yeop Lee, Mikhail Lyubich, Nikolai Makarov, and Jacob Mazor.
Event contact: vmatusde at ur dot rochester dot edu