3-Manifold Groups and the Cannon Conjecture - Part I

Explore the intricacies of 3-manifold groups in this comprehensive lecture from the Workshop on Groups around 3-Manifolds. Delve into the Cannon Conjecture, examining conditions that potentially indicate a group as the fundamental group of a compact 3-manifold. Investigate the relationship between word-hyperbolic groups with a 2-sphere Gromov boundary and 3-manifold groups, and analyze a relative version of the Cannon Conjecture. Examine Wall's conjecture regarding finitely generated PD(3) groups and their connection to 3-manifold groups. Discover the interconnections between these concepts and learn about specific criteria that support these conjectures in certain cases. Gain valuable insights into this complex mathematical topic through Daniel Groves' expert presentation.