时间与地点:
11月22日上午10:00-11:00, 二教417
11月22日下午13:30-14:30, 数学楼127
11月23日下午14:00-15:00,四教225
课程简介:
(1) Basics of dg categories.
We review basic notions of dg categories, such as its definition, dg-modules, perfect modules, generators, and so on.
(2) The dg category of matrix factorizations.
We define and discuss various Hochschild invariants of the dg category of matrix factorizations.
(3) Curved Koszul duality
We discuss the use of Koszul duality in understanding and explicitly computing the dg category of matrix factorizations.
A basic knowledge of linear algebra and homological algebra is sufficient for the short course.