### Distribution of primitive lattices and their flags

Ergodic Theory and Dynamical Systems Seminar

22nd April 2021, 2:00 pm – 3:00 pm

Online, on zoom (if interested, please email one of the organisers to gain access to the Zoom link),

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.

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