BIRS Workshop Lecture Videos
Twisted Calabi-Yau and Artin-Schelter regularity properties for locally finite algebras Reyes, Manuel
It is known that a connected graded algebra is Artin-Schelter (AS) regular if and only if it is twisted Calabi-Yau (CY). While AS regular algebras are necessarily connected, a twisted CY algebra need not be. Thus we ask: for algebras that are graded but not necessarily connected, is the twisted CY property equivalent to a suitable analogue of the AS regular property? We give a positive answer, using generalized AS regular properties inspired by the work of Martinez-Villa, Minamoto, and Mori. We will also describe the structure and properties of graded twisted CY algebras in very low dimension (at most 2). This is a preliminary report on joint work with Daniel Rogalski.
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