INMABB   05456
INSTITUTO DE MATEMATICA BAHIA BLANCA
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
Fundamental domains of cluster categories inside module categories
Autor/es:
MARIA INES PLATZECK
Lugar:
Woodshole, MA
Reunión:
Conferencia; Maurice Auslander distinguished lectures and Conference 2012; 2012
Institución organizadora:
Northeastern University
Resumen:
Abstract. Let H be a finite dimensional hereditary algebra over an algebraically closedfield, and let C_H be the corresponding cluster category. In this talk I will  give a description of the(standard) fundamental domain of C_H in the bounded derived category D^b(H), and ofthe cluster-tilting objects, in terms of the category mod B of finitely generated modulesover a suitable tilted algebra B. Furthermore, I will explain how  this description can be used to obtain (thequiver of) an arbitrary cluster-tilted algebra. This talk reports joint work with Juan A. Cappa and Idun Reiten.