Department of

# Mathematics

Seminar Calendar
for events the day of Friday, September 11, 2020.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
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Friday, September 11, 2020

1:00 pm in Zoom,Friday, September 11, 2020

#### Douady's Conjecture in Complex Dynamics

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

Abstract: Complex dynamics is the study of iteration of either rational functions from the Riemann sphere into itself or entire functions. Fatou and Julia sets play a main role in that study. Their definitions will be given, as well as a few examples and properties. Last but not least, connections between complex dynamics, number theory and linearization will be discussed, as well as some progress on Douady's Conjecture.

4:00 pm in Zoom,Friday, September 11, 2020

#### Introduction to Seifert surfaces and Knot Invariants

###### Brannon Basilio (UIUC)

Abstract: Seifert surfaces are used to study invariants of knots. In this talk, we introduce the notion of Seifert surfaces and how they give rise to the Alexander invariant and ultimately the Alexander polynomial through the universal abelian covering space.