Department of

Mathematics


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

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Friday, September 11, 2020

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

Complex dynamics and linearization

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.

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.