Abstract
The purpose of these four lectures is to provide an introduction to the theory of dg-categories.
There are several possible points of view to present the subject, and my choice has been to emphasised its relations with the localization problem (in the sense of category theory). In the same way that the notion of complexes can be introduced for the need of derived functors, dg categories will be introduced here for the need of a derived version of the localization construction.
Keywords
- Model Category
- Unique Object
- Triangulate Category
- Homotopy Category
- Hochschild Cohomology
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Bertrand, T. (2011). Lectures on DG-Categories. In: Topics in Algebraic and Topological K-Theory. Lecture Notes in Mathematics(), vol 2008. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15708-0_5
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