报告人： Anurag Rao, SIMIS
摘要： Consider a noncompact homogeneous space equipped with the action of a one-parameter diagonable subgroup – for example the space of unimodular lattices in the plane with the action of the diagonal subgroup. In 1996 Kleinbock-Margulis proved the existence of a full dimension set of points having precompact orbit. We slightly refine their work by constructing a large set of points whose orbits are precompact and have a prescribed limit point. This question is related to considerations in Diophantine approximation. We will explain this background as well as analogous questions in simpler dynamical systems. Based on ongoing work with Dmitry Kleinbock and Manfred Einsiedler.
时间： 16:00, Thursday, Oct. 17, 2024
地点： Room 1210, Block A, No. 657 Songhu Road, Yangpu District, Shanghai
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