Regular Cube Complexes and Lieghton's Theorem

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

Date Range
Add to Calendar 2021-11-30 13:50:00 2021-11-30 14:50:00 Regular Cube Complexes and Lieghton's Theorem 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. MW 154 Department of Mathematics math@osu.edu America/New_York public
Description

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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