Effective equidistribution of polynomial trajectories in ${\mathrm{SL}}_3(\mathbb{R})/{\mathrm{SL}}_3(\mathbb{Z})$

Hao Xing

For a fixed matrix-polynomial trajectory in ${\mathrm{SL}}_3(\mathbb{R})/{\mathrm{SL}}_3(\mathbb{Z})$, we give a necessary and sufficient intrinsic Diophantine condition for…