HADES talk - Unbounded fast escaping wandering domains
- Event Type
- Seminar/Symposium
- Sponsor
- Department of Mathematics
- Location
- 243 Altgeld Hall
- Date
- May 2, 2023 1:00 pm
- Speaker
- Adi Glucksam (Northwestern)
- Contact
- Burak Erdogan
- berdogan@illinois.edu
- Views
- 67
Abstract:
Complex dynamics explores the evolution of points under iteration of functions of complex variables. In this talk I will introduce into the context of complex dynamics, a new approximation tool allowing us to construct new examples of entire functions and show new possible dynamical behaviours. In particular, we answer a question of Rippon and Stallard from 2012 about unbounded wandering domains with unbounded orbits, and provide a collection of examples supporting a conjecture of Baker.
This talk is based on a joint work with V. Evdoridou, and L Pardo-Sim on , and will be given in 'colloquium style', i.e., all the definitions and basic concepts will be discussed during the talk.