• 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.