| Abstract |
(This is a seminar talk given by an undergraduate student, Mr. Rayhyun Kim, after his individual reading course studies.)
In this seminar, I want to discuss about some basic notions of homological algebra that appears in category of sheaves.
Many useful functors which are not exact, and the failure of exactness often contains important information. In the sheaves category this point of view naturally leads to sheaf cohomology.
Going one step further, I will also discuss how sheaf cohomology is related to higher direct images. From this perspective, I would like to explain how inverse and direct image functors, their adjunction, and the derived functors of left exact functors fit together in a natural example.
TBA |
