일시: 5월 14일 (금) 15:00 ~ 17:00

5월 21일 (금) 14:00 ~ 16:00

5월 28일 (금) 10:00 ~ 12:00

6월 4일 (금) 14:00 ~ 16:00

6월 11일 (금) 14:00 ~ 16:00

장소: Online (Zoom)

제목: Introduction to derived categories

연사: 조창연 박사 (서울대 QSMS)

Abstract

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):

Reference

Daniel Huybrechts, Fourier-Mukai Transforms in Algebraic Geometry

Bernhard Keller, Derived Categories and Their Uses

Amnon Neeman, Triangulated Categories

Richard P. Thomas, Derived Categories for the Working Mathematician

Charles A. Weibel, An Introduction to Homological Algebra