Institut für Mathematik


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)