MENU

You are here

Derived Functors

Lecturer: 
Course Type: 
PhD Course
Academic Year: 
2020-2021
Period: 
October-December
Duration: 
40 h
Description: 

Syllabus:

1. Basic elements of category theory and homological algebra
2. Injective objects, derived functors. Examples.
3. Introduction to sheaves
4. Sheaf cohomology, Cech cohomology, comparison
5. Hypercohomology and hyperderived functors
6. Spectral sequences
7. Introduction to derived categories

Prerequisites: basic point-set topology, basic algebra of rings and modules

References:

U. Bruzzo, B. Graña Otero, Derived Functors, World Scientific 2020
Hilton-Stammbach, A course in homological algebra, Springer-Verlag 1997
Godement, Topologie algébrique et Théorie des fascieaux, Hermann 1973
Tennison, Sheaf Theory, Cambridge Universe Press 1970

Location: 
A-136
Location: 
A-136 and Zoom, sign in to get the link

Sign in