The Quasi-Redirecting Boundary in Proper Metric Spaces

Explore the concept of the quasi-redirecting boundary in this 44-minute conference talk by Kasra Rafi, presented at the Workshop on "Geometric and Asymptotic Group Theory with Applications 2023 - Groups and Dynamics" at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the introduction of a natural notion of boundary for proper metric spaces, which is both large and invariant under quasi-isometries. Discover how points in this boundary are defined as equivalence classes of quasi-geodesics that can be quasi-redirected to each other. Learn about the relationship between the sublinearly-Morse boundary and the quasi-redirecting boundary, understanding how the former is a topological subspace of the latter. Examine cases where the quasi-redirecting boundary is identical to the Bowditch boundary. Gain insights into this joint work with Yulan Qing, expanding your knowledge of geometric group theory and its applications.

Kasra Rafi - The quasi-redirecting boundary