Next Tuesday (November 15) there will be a Reading seminar at 9:30 (from 9:30 to 10:30 or 10:45). The topic of the seminar is Microlocal theory of sheaves and symplectic topology. You can find out more about the over all theme of the reading seminar as well as several references on the main reading seminar webpage.
The room is not yet fixed, but we will meet in the differential geometry corridor shortly before. There will be two talks. First, Roman Golovko will give a short (30 minutes) propaganda-type talk on the goals of the seminar. Then Misha Verbitsky will continue his talk on derived categories and his abstract is below.
I will say a couple of words about abelian categories, injective and projective objects. Then I would give a formal definition of a derived category and explain how it relates to injective and projective resolutions. I would end with a brief introduction to triangulated categories. The talk is supposed to be very elementary and I would prefer to go slowly and have more discussions