Fortnightly links (62)
Osamu Iyama, Tilting Cohen–Macaulay representations is another ICM address (this one appeared much later than the others?) Besides being a well-written overview, it has a rather high quiver-to-page ratio.
Igor Burban and Yuriy Drozd, Non-commutative nodal curves and derived tame algebras is a nice article to read after you've read Iyama's ICM address: it concerns the derived categories of singular curves and sheaves of orders on them. Just like Geigle–Lenzing canonical algebras can be studied using weighted projective lines (or vice versa), one can study derived tame algebras using algebraic geometry.
Bhargav Bhatt, Jacob Lurie and Akhil Mathew, Revisiting the de Rham–Witt complex gives an alternative construction of the de Rham–Witt complex: in part 1 this is done for algebras using only elementary methods, whilst part 2 invokes all the $\infty$-language to do descent theory (and more). I saw Jacob give a talk about (the first part of) this paper at the Stacks project workshop where he started with the memorable statement
There will be no homotopy theory in this talk.