Dynamical Systems
Seminars
You can find the details about all Pure Mathematics seminars here.
The organiser of the Dynamical Systems seminar is Dr David Martí-Pete. Please contact David if you would like to give a talk or be added to the seminar mailing list.
Next seminar
Speaker: TBA
Title: TBA
Time: Thursday 12th October 2023, 13:00-14:00
Place: Room MATH-210, hybrid format (via Zoom)
Upcoming seminars
Speaker: TBA
Title: TBA
Time: Thursday 19th October 2023, 13:00-14:00
Place: Room MATH-210, hybrid format (via Zoom)
Speaker: TBA
Title: TBA
Time: Thursday 26th October 2023, 13:00-14:00
Place: Room MATH-210, hybrid format (via Zoom)
Past seminars
Speaker: Mikhail Hlushchanka (University of Amsterdam)
Title: Rational maps, Julia sets, and iterated monodromy groups: complexity and decomposition
Time: Thursday 14th September 2023, 13:00-14:00
Place: Room MATH-210, hybrid format (via Zoom)
Abstract: 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). The goal of the talk is to introduce a novel decomposition of rational maps based on the topological structure of their Julia sets (obtained jointly with Dima Dudko and Dierk Schleicher). Namely, we will discuss the following result: every postcritically-finite rational map with non-empty Fatou set can be canonically decomposed into crochet maps (these have very "thinly connected" Julia sets") and Sierpiński carpet maps (these have very "heavily connected" Julia sets). At the end of the talk, we will briefly consider connections of this decomposition to geometric group theory and self-similar groups.