• Tuesday, February 22, 14:00, 7.527
    Chelsea Walton, Generalizing twisted homogeneous coordinate rings.
  • Abstract:
    Sklyanin algebras play an important role in the study of physical phenomenon. We will first review techniques of Artin-Tate-van den Bergh (ATV) that describe the ring-theoretic and homological behavior of these structures. In particular, we highlight the significance of twisted homogeneous coordinate rings. The focus of the talk is to introduce a generalized twisted homogeneous coordinate ring P associated to a degenerate version of the three-dimensional Sklyanin algebra. The surprising geometry of these algebras yields an analogue to a result of ATV; namely that P is a factor of the corresponding degenerate Sklyanin algebra.