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Lecturer: Dong Han Kim (Dongguk University, Korea)

Title: The Markoff and Lagrange spectra on the unit circle

Abstract: In this talk, we discuss the Markoff spectrum on the unit circle, which is also known as the Markoff spectrum of C-minimal forms or spectrum on the sublattice of index 2. The discrete parts of the spectra were given by A.L. Schmidt in 1970's. We show that there are some gaps and Hall's ray in the Markoff and Lagrange spectra.