Speaker: Claire Merriman (The Ohio State University)
Title: Using modular surfaces to generate continued fractions
Speaker's URL: https://www.asc.ohio-state.edu/merriman.72/
Abstract: Continued fractions are frequently studied in number theory, but they can also be described geometrically. I will give both pictorial and algebraic descriptions of the flows that describe continued fraction expansions. This talk will focus on continued fractions of the form $a_1\pm\frac{1}{a_2\pm\frac{1}{a_3\pm\ddots}}$, where the $a_i$ are odd. I will show how to describe these continued fractions as geodesic on the hyperbolic plane, and how they cross cells of the Farey tessellation.
URL associated with Seminar
https://u.osu.edu/ergodictheory/
Additional Dates &/or Times
Zoom link: https://osu.zoom.us/j/98033590349
Meeting ID: 980 3359 0349
Password: Mixing