Dynamics Seminar

Sabyasachi Mukherjee

(Jacobs University)

"Discontinuity of straightening in antiholomorphic dynamics"


Date: Tue, December 2, 2014
Time: 14:15
Place: Research I Seminar Room

Abstract: The topology of straightening maps for families of polynomials with interacting critical orbits has been an important area of study in holomorphic dynamics, and substantial progress in this direction has been made in recent years.

In this talk, we will demonstrate that the straightening map from a 'baby tricorn' to the original tricorn is always discontinuous, by showing that all non-real 'umbilical cords' wiggle. This generalizes a result of Hubbard and Schleicher, and settles a conjecture made by several people.