Title: "The Lichtenbaum Conjectures"

Abstract: The ur-Lichtenbaum Conjecture expressed a remarkable relationship between special values of zeta functions and orders of K-groups. In this talk, I'll explore a number of enhancements of this conjecture, and I'll explain how the work of Hesselholt-Madsen addresses certain cases of an avatar known as the Beilinson-Lichtenbaum Conjecture. Finally, I'll discuss recent joint work with Lyo on the newest incarnation: the Carlsson-Lichtenbaum Conjecture.