2 problems

Let $X_n=\operatorname{SL}_n(\mathbb{R})/\operatorname{SL}_n(\mathbb{Z})$, and let $A$ denote the subgroup of positive diagonal matrices in $\operatorname{SL}_n(\mathbb{R})$. An…

Dimension drop conjecture. The set $E(U,\{g_t\})$ has Hausdorff dimension strictly smaller than the dimension of $X$.