일시: 5월 14일 (금) 15:00 ~ 17:00 (Zoom ID 81368903542) 5월 21일 (금) 14:00 ~ 16:00 (Zoom ID 83331041607) 5월 28일 (금) 10:00 ~ 12:00 (Zoom ID 88009984580) 6월 4일 (금) 14:00 ~ 16:00 (Zoom ID 81417872044) The theory of derived categories developed by Verdier (and Grothendieck) provides a convenient language for working with many constructions in homological algebra. Ever since its origin in algebraic geometry, it has proven to be a valuable tool in many areas of mathematics such as microlocal analysis, D-modules, and representation theory, to name a few. The main goal of this series of talks is to explain some basic constructions of derived categories. After a brief review of the notion of abelian categories, we’ll focus our attention on triangulated categories and their localizations, and the construction of derived functors. There are many references available, and here are a couple for the convenience of participants (however, it would be sufficient for interested participants to read Chapter 1 of Weibel’s book):