Chris Skalit : Fossum's Conjecture and The Gersten Complex

Posted by Chris Skalit , part of the Algebraic Geometry Seminar.

At

Feb. 8, 2017, 4 p.m.

In

SEO 427

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.