Effective version of Ratner's equidistribution theorem for $\mathrm{SL}(3,\mathbb{R})$

Abstract

In this paper, we will prove an effective version of Ratner's equidistribution theorem for unipotent orbits in $\mathrm{SL}(3,\mathbb{R})/\mathrm{SL}(3,\mathbb{Z})$ with a natural Diophantine condition.

63 pages. Added more details and explanations. Section 5 in the previous version was divided into several sections