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Information Center for Mathematical Science

세미나

Information Center for Mathematical Science

세미나

2018 서울대학교 수학강연회
Title The Lagrange and Markov Spectra of Pythagorean triples
Date 2018-11-08
Speaker 김동한(동국대)
Sponsors 2018-11-08
Host SNU
Place 129-101
Abstract The Lagrange spectrum is the set of approximation constants in the Diophantine approximation for badly approximated numbers. It is closely related with the Markov spectrum which corresponds the minimum values of indefinite quadratic forms over integral vectors. We discuss the Diophantine approximation for the rational points in the unit circle. We will introduce a dynamical system originally defined by Romik in 2008, study its Lagrange and Markov spectra.