授课教师：Hideto Asashiba 教授， 静冈大学

课程名称：Derived equivalence classification of selfinjective algebras and 2-categorical covering theory

时间： 3月15日， 15：30-17：00 

       3月16日， 10：00-11：30

       3月17日， 10：00-11：30

地点：管理科研楼1518教室

摘要： Throughout the lectures all algebras are assumed to be finite-dimensional algebras over a 

fixed algebraically closed field k. First we review the derived equivalence classification of 

representation-finite selfinjective algebras and multifold extensions of piecewise hereditary 

algebras of tree type, and see how a covering theory was used to show derived equivalences.Because 

we have to deal with coverings of non-basic categories, we introduce weak group actions on k-categories,

which leads us to a 2-categorical covering theory.We explain how to use this theory to show derived 

equivalences of algebras having forms of orbit categories of k-categories.Finally, by considering 

the converse construction of orbit categories, we introduce a 2-categorical Cohen-Montgomery duality 

and discuss relationships between these constructions and derived equivalences.

欢迎广大师生参加！