Effective equidistribution of translates of maximal horospherical measures in the space of lattices (Q316997)

The authors prove some effective equidistribution results in the space of unimodular lattices. They also prove some properties for probability measures with absolutely continuous densities in rank two and three.NEWLINENEWLINEThey address the problem of determining the error terms in two counting problems. In the first one, the authors determine an error term for counting the number of lifts of a closed horosphere from an irreducible, finite-volume quotient of the space of positive definite \(n \times n\) matrices of determinant one that intersect a ball with large radius. In the second problem, they determine a logarithmic error term for the Manin conjecture of a flag variety over \(\mathbb Q\).