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Back to Commutative Algebra Seminar: Spring 2017

Commutative Algebra Seminar


Date: Friday, Mar 24, 2017

Time: 3:10PM - 4:00PM

Location: LCB 215


Chris Skalit

University of Illinois, Chicago

Title

The Claborn-Fossum 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, Claborn and Fossum conjectured that the same result ought to hold for all cycles of positive codimension on 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.

Commutative Algebra

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