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Seminars

Seminar
FIELD Math:Analysis
DATE October 30 (Fri), 2020
TIME 11:00-12:00
PLACE 8101
SPEAKER Lim, Seonhee
HOST Kang, Nam-Gyu
INSTITUTE 서울대학교
TITLE Diophantine properties of continued fractions and dynamics on the hyperbolic plane
ABSTRACT In this talk, we will start from scratch, from the Gauss map of the usual continued fraction expansion for real numbers and give a "dynamical interpretation" of Diophantine properties of continued fractions in terms of the orbits of the geodesic flow on the hyperbolic plane. We will then generalize this idea to higher dimensions and explain the Dani correspondence.
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