Explore a conference talk from Yale University's Sebastian Hurtado discussing groups in GxG containing lattices of G, presented as part of a broader conference on hyperbolic geometry and hyperbolic group theory at IMPA. Delve into cutting-edge developments in hyperbolic geometry, featuring presentations from renowned mathematicians covering topics like hyperbolic manifolds, smooth structures, group actions, and complex Morse theory. Learn from a distinguished lineup of speakers from institutions worldwide, including discussions on pseudo-Anosov mapping tori, Jordan variations, minimal submanifolds, and bounded cohomology. The talk is part of a comprehensive event organized in partnership with the Clay Mathematics Institute and the NSF, which includes both the main conference and a subsequent workshop designed for graduate students to gain deeper insights into key conference topics.