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研究生短期课程【Hideto Asashiba】

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!

  科大主页 | 国家数学与交叉科学中心(合肥) | 中科院吴文俊数学重点实验室 |
中科院数学与系统科学研究院 | 北京国际数学研究中心 | 安徽省数学会