|Location:||MSRI: Simons Auditorium, Online/Virtual|
To participate in this seminar, please register HERE.
Monodromy representations provide a powerful algebraic lens through which we can study the topology of a branched cover. We will go over the general notion of monodromy representations, followed by discussing various applications of monodromy to complex dynamics. If time permits, we will apply monodromy representations to Hubbard's Twisted Rabbit problem  and to the convergence of Newton-like root-finding schema .
1. Bartholdi, Laurent, and Volodymyr Nekrashevych. "Thurston equivalence of topological polynomials." Acta mathematica 197.1 (2006): 1-51.
2. Mcmullen, Curt. "Braiding of the Attractor and the Failure of Iterative Algorithms". Invent. math 91 (1988): 259-272.
This seminar is for postdocs and PhD students, and we kindly ask faculty not to attend.No Notes/Supplements Uploaded No Video Files Uploaded