Watch a 55-minute conference talk from the Instituto de Matemática Pura e Aplicada where Ben Lowe from the University of Chicago discusses minimal submanifolds, higher expanders, and waists of locally symmetric spaces. Part of a larger conference on hyperbolic geometry and hyperbolic group theory organized in partnership with the Clay Mathematics Institute and NSF, this presentation explores recent developments in the field alongside talks from 19 other distinguished speakers. The conference was followed by a workshop featuring minicourses aimed at graduate students, covering topics like exotic negatively curved manifolds, building hyperbolic manifolds with Coxeter polytopes, and arithmetic hyperbolic manifolds.