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  5. 2026

Geometric Group Theory

Icon: calendar GeoGT Session #4.4 | 2026 Mar 12 from 04:55PM to 05:15PM (Central Time (US & Canada)) | Heritage Hall Building 125

Subevent of GeoGT Session #4

‟Filling Links and Essential Systole ” by Yandi Wu, with Chris Leininger

Abstract:

The systole of a hyperbolic 3-manifold is the length of the shortest closed geodesic. Given a closed 3-manifold M and link L such that M\L is hyperbolic, the essential systole of M\L is the length of the shortest closed geodesic which is not nullhomotopic in M. In this talk, we will discuss and motivate the study of essential systoles of hyperbolic link complements, including their application towards answering a question of Freedman and Krushkal about the existence of “filling links” in closed 3-manifolds.