HIERARCHICALLY HYPERBOLIC SPACES II: COMBINATION THEOREMS AND THE DISTANCE FORMULA JASON BEHRSTOCK, MARK F. HAGEN, AND ALESSANDRO SISTO Abstract. We introduce a number of tools for finding and studying hierarchically hyp

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• Geometric group theory
• Hyperbolic geometry
• Metric geometry
• -hyperbolic space
• Hyperbolic space
• Hyperbolic group
• Relatively hyperbolic group
• 3-manifold
• Quasi-isometry
• Differential geometry of surfaces
• Teichmller space
• Gromov boundary

SIMPLICES AT INFINITY IN CAT(0) CUBE COMPLEXES MARK F. HAGEN These are notes for lectures given in Nice in March 2016, on simplicial boundaries of CAT(0) cube complexes. They cover the denition, basic properties, some

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• Algebraic topology
• Topological spaces
• Homotopy theory
• Geometric group theory
• Triangulation
• Simplicial complex
• Simplex
• Gromov boundary
• Convex set
• CW complex
• Hyperplane
• Arrangement of hyperplanes

Green metric and boundaries of hyperbolic groups ˇ J´an Spakula Abstract: The Gromov boundary of a hyperbolic group is well-defined as topological space, but the metric structure(s) on it are only defined “up to a bo

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