Linearity Criteria for Automorphism Groups of Hyperbolic Groups

Explore linearity criteria for automorphism groups of hyperbolic groups in this mathematical seminar presented by Dr. Mark Pengitore from the Polish Academy of Sciences. Delve into advanced group theory concepts as the speaker examines the conditions under which automorphism groups of hyperbolic groups exhibit linear properties. Learn about the fundamental connections between geometric group theory and linear algebra through rigorous mathematical analysis. Discover how hyperbolic groups, which are central objects in geometric group theory, relate to their automorphism groups and when these groups can be realized as linear groups over fields. Examine the theoretical frameworks and techniques used to establish linearity criteria, including potential applications to broader questions in algebra and geometry. This presentation forms part of the "Operators, Graphs, Groups" research programme at the Isaac Newton Institute for Mathematical Sciences, bringing together cutting-edge research in mathematical sciences with applications across science and technology.