# Vortrag

Modul:   MAT760  Ergodic Theory and Dynamical Systems Seminar

## Distribution of primitive lattices and their flags

Vortrag von Dr. Tal Horesh

Datum: 31.05.21  Zeit: 15.00 - 16.15  Raum:

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. (---> The talk is taking place at ETH ML H 37.1)