|Location:||MSRI: Online/Virtual, Simons Auditorium|
COMD Stony Brook + MSRI Seminar Series: Canonical Decomposition Of Rational Maps
To participate in this seminar, please register HERE.
There are various classical and more recent decomposition results in mapping class group theory, geometric group theory, and complex dynamics (which include celebrated results by Bill Thurston). We will discuss several natural decompositions that arise in the study of rational maps, such as Pilgrim's canonical decomposition and Levy decomposition (by Bartholdi and Dudko). The main goal of the talk is to introduce a novel powerful decomposition of rational maps based on the topological structure of their Julia sets (obtained jointly with Dima Dudko and Dierk Schleicher). At the end of the talk, we will briefly consider connections of this decomposition to geometric group theory and self-similar groups.No Notes/Supplements Uploaded