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吴泉水——Skew Calabi-Yau algebras, Homological Determinants and Nakayama Automorphisms
发布人:许全华  发布时间:2019-08-12   浏览次数:10

题目Skew Calabi-Yau algebras, Homological Determinants and Nakayama Automorphisms


报告人:吴泉水(复旦大学) 


时间:8月17日,09:30-10:30


地点:明德楼B区201学术报告厅


摘要Noncommutative Calabi-Yau algebra is an analogue of the coordinate ring of Calabi-Yau variety in noncommutative algebraic geometry. Artin-Schelter regular algebras and lots of quantum groups are examples of skew Calabi-Yau algebras. A skew Calabi-Yau algebra is Calabi-Yau algebra if and only if its Nakayama automorphism is inner. Homological determinants of quantum actions on skew Calabi-Yau algebras will be defined, which can be viewed as a generalization of the usual determinants (of graded automorphism of polynomial algebras). Some applications will also be given at the end of the talk.