Watch a 57-minute conference talk exploring groups with exotic finiteness properties from complex Morse theory, presented by Claudio Llosa-Isenrich from Karlsruhe Institute of Technology. Delivered at IMPA (Instituto de Matemática Pura e Aplicada) in Rio de Janeiro, this presentation was part of a larger conference focused on recent developments in hyperbolic geometry and hyperbolic group theory. The conference, organized in partnership with the Clay Mathematics Institute and NSF, featured prominent speakers discussing various aspects of hyperbolic manifolds, their submanifolds, and fundamental groups. The talk contributes to a broader program that included a subsequent workshop aimed at graduate students, offering in-depth introductions to key conference topics through minicourses led by distinguished mathematicians.