Department of

# Mathematics

Seminar Calendar
for events the day of Friday, February 19, 2021.

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More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery.
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Friday, February 19, 2021

2:00 pm in Contact for zoom link,Friday, February 19, 2021

#### Expanding Thurston Maps and Visual Spheres

###### Stathis Chrontsios (UIUC Math)

Abstract: Complex Dynamics study iterations of entire functions and/or rational maps. While doing so in the latter case, the properties of the Riemann sphere are being used (e.g. conformal structure). In this talk, the protagonists will be Thurston maps, generalizations of rational maps that are defined on topological spheres. Connections with their complex analytic counterparts will be discussed, as well as questions from a metric-analytic point of view about visual spheres, the metric spaces the dynamics of these maps induce.

4:30 pm in Zoom,Friday, February 19, 2021