Clusters in type A infinity

Peter Jorgensen (Newcastle University)

Wednesday 21st October, 2009 16:00-17:00 Mathematics Building, Room 204


The talk concerns a certain triangulated category which can reasonably be called a cluster category of Dynkin type A infinity. The category has lots of cluster tilting subcategories which can be parametrised by 'triangulations of the infinity-gon'. Both cluster tilting subcategories and triangulations have a mutation rule, and the rules correspond to each other under the parametrisation. In fact, the cluster tilting subcategories form a so-called cluster structure, so the quiver of a cluster tilting subcategory has the expected behaviour under mutation. This is a report on joint work with Thorsten Holm.

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