Dynamics to Geometry in Free-by-Cyclic Groups - Lecture 3

Explore the intricate connections between dynamics, algebra, and geometry in free-by-cyclic groups in this 50-minute lecture by Jean Pierre Mutanguha. Delve into the construction of semi-direct products of finitely generated free groups and integers, examining their Cayley graphs and other geometric models. Investigate the dynamics of defining automorphisms, algebraic properties of free-by-cyclic groups, and the coarse geometry of their models. Discover how these concepts are influenced by Thurston's work on surface homeomorphisms and 3-manifolds. Gain insights into various results, from classic to recent, and learn key ideas behind them. Encounter numerous open problems in this field, providing ample opportunities for further research and exploration.

Jean Pierre Mutanguha: Dynamics to geometry in free-by-cyclic groups III.