ABSTRACT: A new category, called Cluster Category is introduced as a quotient of the bounded derived category of the module category of a finite dimensional hereditary algebra. In the simply-laced Dynkin case, the cluster algebra can be considered as a natural model for the combinatorics of the corresponding Fomin-Zelevinsky cluster algebra. Using Auslander-Reiten theory a 1-1 correspondence between tilting objects in the cluster category and clusters in the cluster algebra can be described, with further relation between several notions of the two theories.

Date: April 2, 2004

Time: 11:30 - 12:30
(Notice unusual time)
511 Lake Hall