Tiling with Arbitrary Tiles

Combinatorics Seminar
Wednesday, September 16, 2015 - 16:00
1 hour (actually 50 minutes)
Skiles 006
University of Cambridge
Let $T$ be a finite subset of  ${\Bbb Z}^n$. It may or may not tile  ${\Bbb Z}^n$, in the sense of  ${\Bbb Z}^n$ having a partition into copies of $T$. But is there a dimension $d$ such that $T$ does tile  ${\Bbb Z}^d$ ? Our talk will focus on this question.