Mutations for Calabi-Yau algebras of dimension 3

Room 0.37, Pure Mathematics Department
Friday, 2 May, 2008 - 10:00

Calabi-Yau algebras are objects of great interest in Representation theory, Algebraic Geometry and Physics. It is known from the work of Ginzburg that, in dimension 3, these algebras are, in general, defined via a potential. In this talk, we will focus on the case where we have a 3-CY algebra presented by a quiver with potential. In this setting, we will prove that performing mutations (as introduced by Derksen, Weyman and Zelevinsky) induce derived equivalences between the original and the mutated algebras.

Speaker: 

Jorge Vitória (Warwick Mathematics Institute)