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.