Translational tiling is a covering of a space using translated copies of some building blocks, called the "tiles", without any positive measure overlaps. What are the possible ways that a space can be tiled?
The most well known conjecture in this area is the periodic tiling conjecture, which asserts that any tile of $\R^d$ (or $\Z^d$) admits a periodic tiling. In a joint work with Terence Tao, we construct a counterexample to this conjecture. In the talk, I will survey the study of the periodicity of tilings and discuss our recent progress. Speaker(s): Rachel Greenfeld (IAS)
The most well known conjecture in this area is the periodic tiling conjecture, which asserts that any tile of $\R^d$ (or $\Z^d$) admits a periodic tiling. In a joint work with Terence Tao, we construct a counterexample to this conjecture. In the talk, I will survey the study of the periodicity of tilings and discuss our recent progress. Speaker(s): Rachel Greenfeld (IAS)
Building: | East Hall |
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Event Type: | Workshop / Seminar |
Tags: | Mathematics |
Source: | Happening @ Michigan from Department of Mathematics, Complex Analysis, Dynamics and Geometry Seminar - Department of Mathematics |