Tuesday, May 30, 15:15, 7.527
Principal cluster categories.
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.