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Regular Cube Complexes and Lieghton's Theorem

Geometric Group Theory Seminar
November 30, 2021
1:50 pm - 2:50 pm
MW 154

Title:  Regular Cube Complexes and Lieghton's Theorem

Speaker:  Daniel Woodhouse (University of Oxford)

Abstract:  I will discuss a large family of homogeneous CAT(0) cube complexes, previously studied by Lazarovich, which offer a natural generalization of regular graphs. I will then show how Leighton's graph covering theorem can be generalized to this setting. More precisely, given such a homogeneous CAT(0) cube complex X, covering two finite cube complexes X_1 and X_2, we will construct a common finite covering of X_1 and X_2. I will discuss potential applications to quasi-isometric rigidity.

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Seminar - Geometric Group Theory