Modul: MAT760 Ergodic Theory and Dynamical Systems Seminar

## Distribution of primitive lattices and their flags

Talk by Dr. Tal Horesh

**Date:** 31.05.21 **Time:** 15.00 - 16.15 **Room:**

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)