Department of

# Mathematics

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

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events for the
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Questions regarding events or the calendar should be directed to Tori Corkery.
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30


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.