Home /  COMD Research Seminar Series: Topology and Geometry of Multiply Connected Wandering Domains

Seminar

COMD Research Seminar Series: Topology and Geometry of Multiply Connected Wandering Domains March 08, 2022 (02:00 PM PST - 03:00 PM PST)
Parent Program:
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Speaker(s) Jack Burkart (University of Wisconsin-Madison)
Description No Description
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Topology And Geometry Of Multiply Connected Wandering Domains

Abstract/Media

To participate in this seminar, please register HERE.

 When iterating transcendental entire functions, it is possible to have multiply connected Fatou components. The earliest examples of such functions occur as infinite products. In the first part of this talk, I will show how to construct such an infinite product and discuss what we know about the dynamics and geometry of such domains. In the second part, I will discuss a new approach for constructing such functions, along with some applications and open problems. This talk features joint work with Kirill Lazebnik. 

92710?type=thumb Topology and Geometry of Multiply Connected Wandering Domains 535 KB application/pdf

Topology And Geometry Of Multiply Connected Wandering Domains