Tal Horesh

Distribution of primitive lattices and their flags

Integral (or primitive) lattices in $Z^n$ are the higher dimensional analog of integral (or primitive) vectors in $Z^n$. Therefore, many counting and equidistribution problems regarding integral/primitive vectors can be generalized to integral/primitive lattices. For example, Linnik type questions concern the distribution of projections of integral points on the unit sphere; these can be generalized to questions about the distribution of the projections of rank $d$ lattices in $Z^n$ to the Grassmannian $Gr(d,n)$.
Such counting and equidistribution results will be the topic of the talk, as well as their generalizations to flags of lattices.

This is joint work with Yakov Karasik.