Modul: MAT075 Zurich Graduate Colloquium

## What is... the shape of a lattice?

Andreas Wieser talk

**Date:** 06.11.18 **Time:** 17.15 - 18.30 **Room:**

In this talk we introduce the shape of a lattice (here a discrete subgroup of Euclidean space) which roughly captures the form of a fundamental parallelotope in it. We will particularly focus on primitive integral lattices and then address old and new questions surrounding such lattices and their shapes. The main (equidistribution) conjecture we discuss answers amongst other things the question whether or not the orientations of such lattices yield any information about their shapes and vice versa.