任课教师 Speaker：Will Donovan
时间 Time： 每周三/五 13:30-15:05 2021-2-22 ~ 5-14
Derived functors have powerful applications in
algebraic geometry, in particular for formulating dualities, and for working
with cohomology in relative settings. This course will develop their theory,
along with ways to calculate them. I will introduce the derived category, which
gives a natural setting for derived functors, and some basic birational
geometry, which gives a supply of interesting examples. Towards the end, I will
explain topics of current research interest in this area, such as categorified
perverse sheaves and noncommutative resolutions.
Basic algebraic geometry, and introductory
homological algebra, will be helpful.
D. Huybrechts, Fourier-Mukai transforms in
algebraic geometry, Oxford, Math