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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
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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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