## Algebraic Geometry Seminar

Chris Skalit

UIC

Fossum's Conjecture and The Gersten Complex

**Abstract:**A classical theorem of Auslander-Buchsbaum asserts that the divisor class group of a regular local ring $A$ is trivial. Several years later, R. Fossum conjectured that the same result ought to hold for all cycles of positive codimension on $\operatorname{Spec} A$. In this talk, we shall discuss the storied history of this problem, its connection with higher algebraic K-theory, and some recent progress.

Wednesday February 8, 2017 at 4:00 PM in SEO 427