Fortnightly links (65)
Lev Borisov, Dmitri Orlov: Equivariant exceptional collections on smooth toric stacks describes the derived categories of Artin stacks, obtained by taking the quotient stack by the torus action on a smooth toric Deligne–Mumford stack. It turns out that they have full exceptional collections, but which (unlike the usual case) consist of infinitely many objects. There is also a noncommutative version for graded algebras, where the role of the derived category of graded modules is emphasised.
Angela Gibney, Conformal blocks and the moduli space of curves is a set of lecture notes from a summer school 2 weeks ago. If I had a little more time I would love to read these in detail.
Entretien avec Ofer Gabber is an interview (in English) with Ofer Gabber, where Luc Illusie is asking the questions. One interesting point is around 16:10, where he discusses how he dealt with some issues he found in Bourbaki.