Topology Seminar: Tue Ly (Brandeis): "Diophantine approximation on number fields, homogenous dynamics and Schmidt game"

Wednesday, October 14, 2015
4:15 PM - 5:00 PM (ET)
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Caryn Canalia
Mathematics and Computer Science

Abstract:  In 1960's, Wolfgang Schmidt used his (\alpha, \beta)-game to prove that the set of badly approximable numbers has countable intersection property.  In this talk, I will discuss about extending Schmidt's result to the set BA_K of vectors badly approximable by elements of a fixed number field K using the connection to homogeneous dynamics and recent developments of Schmidt's game. This strengthens a recent result by Anish Ghosh, Beverly Lytle and Manfred Einsiedler concerning the intersection of BA_K with curves.  Joint work with Dmitry Kleinbock.

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