Seminar series
Date
Tue, 23 Feb 2010
Time
15:45 -
16:45
Location
L3
Speaker
Kentaro Nagao
Organisation
Oxford and Kyoto
I will introduce the theory of cluster categories after Amiot and Plamondon. For a quiver with a potential, the cluster category is defined as the quotient of the category of perfect dg-modules by the category of dg-modules with finite dimensional cohomologies. We can show the existence of the equivalence in the first talk as an application of the cluster category. I will also propose a definition of a counting invariant for each element in the cluster category.