Date | Dec 31, 2019 |
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Speaker | 김우연 |

Dept. | University of Wisconsin |

Room | 27-116 |

Time | 17:00-18:00 |

Let G = SL(d, R) ⋉ R^d be the affine special linear group of the plane and set Γ = SL(d, Z) ⋉ Z^d.

In this talk, we prove a polynomially effective asymptotic equidistribution result for the orbits of an unstable horospherical unipotent flow on G/Γ.

Strombergsson(2015) settled the case of dimension d=2 by using analytic number theoretic method.

We will use the earlier result of the effective equidistribution on SL(d, R)/SL(d, Z) and an estimate of the oscillatory integral on the fiber to show the general dimension case.

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