Date | Jul 18, 2023 |
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Speaker | 김우연 |

Dept. | ETH, Zurich |

Room | 129-301 |

Time | 11:00-12:30 |

For d>2 let G=SL_d(R). Let A be the group of positive diagonal dtimes d matrices on G and U be a (d-1)-dimensional abelian expanding horospherical group in G. For a point x in the space of d-dimensional lattices, we say that x is A-divergent on average if for any compact set K the orbit Ax escapes K on average. In this talk, I will discuss the Hausdorff dimension of the set of A-divergent on average points on closed U-orbits. If time permits, I will also discuss an application to inhomogeneous multiplicative Diophantine approximation.

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