6 ECTS credits
150 h study time
Offer 1 with catalog number 4013396FNR for all students in the 2nd semester
at
a (F) Master - specialised level.
- Semester
- 2nd semester
- Enrollment based on exam contract
- Impossible
- Grading method
- Grading (scale from 0 to 20)
- Can retake in second session
- Yes
- Enrollment Requirements
- Registration for this course is allowed if one is registered for or has successfully accomplished "Algebraic Topology" and "Category Theory".
- Taught in
- English
- Partnership Agreement
- Under interuniversity agreement for degree program
- Faculty
- Faculty of Sciences and Bioengineering Sciences
- Department
- Mathematics
- External partners
- Universiteit Antwerpen
- Educational team
- Wendy Lowen
(course titular)
- Activities and contact hours
-
30 contact hours Lecture
30 contact hours Seminar, Exercises or Practicals
- Course Content
- - abelian categories, chain complexes
- injective and projective resolutions, Tor, Ext, derived functors
- homological dimensions
- Hochschild cohomology
- derived en triangulated categories
- Course material
- Handbook (Required) : Methods of Homological algebra, S. I. Gelfand, Y. I. Manin, 2de, Springer, 9783642078132, 2010
Handbook (Required) : An introduction to homological algebra, C. A. Weibel, BIB, 9780521559874, 1995
- Additional info
- - S. I. Gelfand, Y. I. Manin, Methods of Homological algebra
- C. A. Weibel, An introduction to homological algebra
- Learning Outcomes
-
Algemene competenties
This course is intended to be an introduction to the classical homological algebra but also stresses the link with the modern approach of the subject through derived and triangulated categories. The student has to major the basic techniques, allowing him/her to solve exercises in the form of a project.
- Grading
-
The final grade is composed based on the following categories:
Other Exam determines 100% of the final mark.
Within the Other Exam category, the following assignments need to be completed:
- Examen mondeling
with a relative weight of 1
which comprises 100% of the final mark.
- Additional info regarding evaluation
- Oral exam and project evaluation
- Allowed unsatisfactory mark
- The supplementary Teaching and Examination Regulations of your faculty stipulate whether an allowed unsatisfactory mark for this programme unit is permitted.
Academic context
This offer is part of the following study plans:
Master of Mathematics: Fundamental Mathematics (only offered in Dutch)
Master of Teaching in Science and Technology: wiskunde (120 ECTS, Etterbeek) (only offered in Dutch)