Advanced Algebra: Homological Algebra

Wintersemester 26/27

• Lectures: We 12:15-13:45, Fr 14:15-15:45 (Min-F Hörsaal 6)
• Tutorials: Fr 16:15-17:45 (Min-F Hörsaal 6)

• Instructor: Tobias Dyckerhoff
• Office: Geomatikum 338
• Email: tobias.dyckerhoff AT uni-hamburg.de

Lecture notes

Lecture notes: see cloud folder.

Problem sets

Will be posted on https://wolke.math.uni-hamburg.de/. The precise link will be sent via stine.

Course policies

About

This course will be an introduction to homological algebra with topics such as complexes, derived functor formalism, group cohomology, sheaf cohomology, spectral sequences, simplicial methods, derived categories, and others depending on time and interest.

Literature

• Main text book: Introduction to homological algebra (Weibel)
• Homological Algebra (Cartan-Eilenberg)
• Sur quelques points d'algèbre homologique (Grothendieck)
• Methods of homological algebra (Gelfand, Manin)
• Homological Algebra (Gelfand, Manin)
• Commutative Algebra (Eisenbud)
• Categories and Sheaves (Kashiwara, Schapira)
• Simplicial Homotopy Theory (Goerss, Jardine)

Prerequisites

Basic Algebra.

Homework / Exam

Homework.

• There will be a problem set once a week.
• Please submit in groups of 2.
• You will need a total score of at least 50% to be admitted to the final exam.

Final exam. Written exam.