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学术科研

Dynamical Systems Seminar

Fractal geometry and Diophantine approximations: the Markov and Lagrange spectra

演讲者：Carlos Gustavo Tamm de Araújo Moreira ( Gugu ) , IMPA
时间：2018-11-14 16:10-17:30
地点：慧园3栋 415报告厅

Abstract: We will discuss recent results on the classical Markov and Lagrange spectra from Diophantine approximations, related to their (fractal) geometric structure. We will start discussing problems and results related to dynamical bifurcations and hyperbolic dynamics and its relations to regular Cantor sets, which have an important role in the study of the Markov and Lagrange spectra. We will also discuss recent results on natural generalizations in Dynamical Systems and Differential Geometry of these spectra.