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！
