Math 245: Stacks
Tuesdays and Thursdays 10:30-11:50 in 381-T
The goal of this class is to gain familiarity and comfort
with algebraic spaces and stacks, largely following Martin Olsson's
excellent book. I will try to keep things motivated, technically
complete and concrete.
Prerequisites. Comfort with algebraic
language of schemes), combined with a willingness to work with things
you haven't fully mastered.
Martin Olsson's graduate level textbook on Algebraic spaces and stacks.
is a stack?, by Dan Edidin.
and the cohomology of the moduli space of curves, by Dan Edidin.
the construction of the moduli space of curves, by Dan Edidin.
Stacks for Everybody, by Barbara Fantechi.
Picard groups of moduli problems, by David Mumford, and Daniel Litt's exposition thereof (parts one and two).
Notes on Grothendieck topologies, fibered categories and descent theory, by Angelo Vistoli (lovely comprehensive reference).
Course email list. Please be sure you are on the course email list (by
Instructor: Ravi Vakil (office 383-Q, office hours TBA, but
possibly just by appointment if I know everyone in the class well enough).
The notes for this class are here. Tony
Feng, Dan Dore, and Aaron Landesman very very
kindly livetexed the classes. The link to edit the notes is in the January 15 email sent to
our class email list.
Back to my home page.