题目:Classification of twisted algebras of 3-dimensional Sklyanin algebras
报告人:Masaki Matsuno (Tokyo University of Science)
时间:2023年12月12日下午3:30-4:20
地点:东区五教5205
摘要:The notion of twisting system and twisted algebra introduced by Zhang has played a pivotal role when we study noncommutative graded algebras. However, it is often difficult to construct (non-algebraic) twisting systems. In this talk, we first explain the notion of geometric algebra which determines and is determined by a projective variety and its automorphism. We next show that a twisted algebra of a geometric algebra is determined by a certain automorphism of a projective variety. As an application, we classify twisted algebras of 3-dimensional Sklyanin algebras up to isomorphism.