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On the connectivity of three-dimensional tilings

Connections for Women Workshop: Geometric and Topological Combinatorics August 31, 2017 - September 01, 2017

August 31, 2017 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Caroline Klivans (Brown University)
Location: MSRI: Simons Auditorium
  • Three-dimensional tilings

  • dominoes

  • connectivity by local moves

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC


In this talk, I will discuss domino tilings of three dimensional manifolds. In particular, I will focus on the connected components of the space of tilings of such regions under local moves. Using topological techniques we introduce two parameters of tilings: the flux and the twist. Our main result characterizes when two tilings are connected by local moves in terms of these two parameters. (I will not assume any familiarity with the theory of tilings for the talk.)

29419?type=thumb Klivans Notes 516 KB application/pdf Download
Video/Audio Files


H.264 Video 4-Klivans.mp4 212 MB video/mp4 rtsp://videos.msri.org/data/000/029/310/original/4-Klivans.mp4 Download
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