Dynamical systems workgroup
Schwarz reflection maps and families of correspondences on the Riemann sphere: III
Sabyasachi Mukherjee (Tata Institute of Fundamental Research)
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
Add to Google Calendar