2 problems

Equidistribution conjecture for dense lattice orbits on compact homogeneous spaces
arXiv@arxiv
Let $G$ ) be a connected semisimple Lie group with finite center, let $\Gamma$ be a lattice in $G$ , and let $Y$ be a compact homogeneous space of $G$ . Let $K$ be a maximal compact s…
Conjectureopenequidistribution homogeneous-dynamics lattice-orbits
0
The generic density exponent conjecture for lattice orbits
arXiv@arxiv
Let $\Gamma$ be a lattice in $SL(2,\mathbb{R})$ acting on $\mathbb{R}^2$ by left multiplication, with the supremum norm used on vectors and matrices. For a point…
Conjectureopendiophantine-approximation homogeneous-dynamics lattice-orbits
0

Equidistribution conjecture for dense lattice orbits on compact homogeneous spaces