Dynamical systems workgroup

Schwarz reflection maps and families of correspondences on the Riemann sphere: III

Sabyasachi Mukherjee (Tata Institute of Fundamental Research)

Thursday, June 30th, 2022
2:00 PM - 3:00 PM
Hylan 1106A & Zoom ID 965 366 89358

The third lecture will focus on one-parameter families of anti-holomorphic correspondences arising from univalent restrictions of Belyi-Shabat polynomials. These families can be viewed as anti-holomorphic generalizations of the Bullett-Penrose family of correspondences. We will sketch the proof of a straightening theorem for ``pinched anti-polynomial-like maps’’ that turns suitable branches of these correspondences to parabolic anti-rational maps, thereby concluding that the correspondences are matings of anti-holomorphic rational maps and the abstract Hecke group.

Event contact: vmatusde at ur dot rochester dot edu