(HoRSe seminar) Cluster category and applications
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Tue, 23/02/2010 15:45 |
Kentaro Nagao (Oxford and Kyoto) |
Algebraic and Symplectic Geometry Seminar  |
L3 |
| 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. | |||