The distribution of intersections in $\mathrm{SL}(3,\mathbb{Z})\backslash \mathrm{SL}(3,\mathbb{R})$ and lattices related to roots of cubic congruences

Matthew Welsh

In this note we study the distribution of the intersections between certain translates of closed orbits of the positive diagonal subgroup in $\mathrm{SL}(3, \mathbb{Z}) \backslash…