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题目：COVERING THEORY FOR LINEAR CATEGORIES WITH APPLICATION TO DERIVED CATEGORIES
报告人：刘石平教授（Universite de Sherbrooke，Canada）
时间： 2015年7月9日，上午9:30-11:00；2015年7月11日，下午2:00-3:30
地点：浙江大学玉泉校区数学中心203
Abstract.
We extend the Galois covering theory introduced by Bongartz-Gabriel for skeletal linear categories to arbitrary linear categories. We show
that a Galois covering between Krull-Schmidt categories preserves irreducible morphisms and almost splits sequences. Specializing to derived categories, we
study when a Galois covering between locally bounded linear categories induces a Galois covering between the bounded derived categories of nite dimensional
modules. As an application, we show that each locally bounded linear category with radical squared zero admits a gradable Galois covering, which induces a
Galois covering between the bounded derived categories of nite dimensional modules, and a Galois covering between the Auslander-Reiten quivers of these
bounded derived categories. In a future paper, this will enable us to obtain a complete description of the bounded derived category of nite dimensional
modules over a nite dimensional algebra with radical squared zero.
