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November 30, 2021

1:50PM - 2:50PM

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MW 154

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`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``OSU ASC Drupal 8``ascwebservices@osu.edu``America/New_York``public`Date Range

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`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.