These are slightly expanded notes of lectures given in April 2019 at the Isfahan school and conference on representations of algebras. We recall the formalism of derived categories and functors and survey invariance results for the Hochschild (co)homology of differential graded algebras and categories.

中文翻译：

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Hochschild（Co）同源性和派生类别

这些是2019年4月在伊斯法罕学校和代数表示会议上的演讲的略微扩展笔记。我们回顾了派生类别和函子的形式主义，并研究了微分渐变代数和类别的Hochschild（共）同调性的不变性结果。