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arXiv · 1512.02373

On the rate of equidistribution of expanding horospheres in finite-volume quotients of $\mathrm{SL}(2,\mathbb{C})$

Samuel C. Edwards
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Abstract

Let $Γ$ be a lattice in $G=\mathrm{SL}(2,\mathbb{C})$. We give an effective equidistribution result with precise error terms for expanding translates of pieces of horospherical orbits in $Γ\backslash G$. Our method of proof relies on the theory of unitary representations.

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Samuel C. Edwards. 2017-01-18. On the rate of equidistribution of expanding horospheres in finite-volume quotients of $\mathrm{SL}(2,\mathbb{C})$. https://arxiv.org/abs/1512.02373

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