• Tuesday, May 30, 15:15, 7.527

    Matthew Pressland
    Principal cluster categories.

  • Abstract:
    I will describe constructions of 2-Calabi-Yau triangulated categories and stably 2-Calabi-Yau Frobenius categories. In particular, I will demonstrate how Amiot's 2-Calabi-Yau triangulated cluster category, usually defined via dg-algebras, may be realised as the stable category of the Frobenius category of Gorenstein projective modules over an ordinary algebra. One consequence of this approach is the construction of a categorification of the (polarised) principal coefficient cluster algebra associated to any acyclic quiver.