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Explore the mathematical concepts of Cannon and related topics in this 57-minute lecture presented by J. Manning for ICTP Mathematics. Delve into the intricacies of geometric group theory and hyperbolic geometry as Manning discusses Cannon's conjecture and its implications. Gain insights into the connections between word-hyperbolic groups, their boundaries, and the characterization of fundamental groups of closed hyperbolic 3-manifolds. Examine the current state of research in this area, including recent developments and open problems related to Cannon's work.
