Department of

Mathematics


Seminar Calendar
for events the day of Wednesday, October 3, 2018.

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Wednesday, October 3, 2018

4:00 pm in 245 Altgeld Hall,Wednesday, October 3, 2018

Connecting the upper half plane, geodesic flows, and continued fractions

Claire Merriman (UIUC Math)

Abstract: Continued fractions are frequently studied in number theory, but they can also be described geometrically. I will talk about continued fraction expansions as dynamical systems, and connect this symbolic system to tessellations. The first part will focus on the "regular" or "simple" continued fractions, where all of the numerators are 1. Then, I will show what happens when all of the numerators are $\pm 1$ and the denominators are all even or all odd.