Answer by user97900 for A down-to-earth introduction to the uses of derived...
"Derived Categories summer graduate school" is also a very good introduction.
View ArticleAnswer by Donu Arapura for A down-to-earth introduction to the uses of...
I won't claim to be fluent in the language of derived categories, but I understand it and can make myself understood. For most people, that's the right level of proficiency. Since you already have...
View ArticleAnswer by Harry Gindi for A down-to-earth introduction to the uses of derived...
I'm going to make a radical suggestion (and hence I have marked this community wiki), that there is a rewarding way to study derived categories as the localizations of "categories with weak...
View ArticleAnswer by Leo Alonso for A down-to-earth introduction to the uses of derived...
For someone interested in algebraic geometry, the first chapters of Lipman's "Notes on Derived Functors and Grothendieck Duality", (in Foundations of Grothendieck Duality for Diagrams of Schemes,...
View ArticleAnswer by Sasha for A down-to-earth introduction to the uses of derived...
I would suggest "Fourier-Mukai transforms in algebraic geometry" by Daniel Huybrechts.
View ArticleAnswer by Karl Schwede for A down-to-earth introduction to the uses of...
For what it's worth, I learned most of what I know of derived categories from the last chapter of Weibel's book on homological algebra (and in particular, doing the exercises there). However, I also...
View ArticleAnswer by Mariano Suárez-Álvarez for A down-to-earth introduction to the uses...
In Bernhard Keller's list of preprints and publications you will find characteristically nice expositions on derived categories (with the point of view of someone interested in representations, mostly,...
View ArticleAnswer by JSE for A down-to-earth introduction to the uses of derived categories
"Derived Categories of Sheaves: A Skimming," by my colleague Andrei Caldararu, might do the trick. It's the notes from his lectures at the Snowbird summer school.
View ArticleA down-to-earth introduction to the uses of derived categories
When I was learning about spectral sequences, one of the most helpful sources I found was Ravi Vakil's notes here. These notes are very down-to-earth and give a kind of minimum knowledge needed about...
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