NMAA09039U Algebraic Topology II (AlgTopII)
Volume 2015/2016
Education
MSc Programme in
Mathematics
Content
This course will be an introduction to homotopy theory and spectral sequences. The first part will focus on elementary homotopy theory covering e.g., fibrations, cofibrations, cellular approximation, Whitehead and Hurewich theorem. The second part will focus on spectral sequences in homotopy theory. The Serre spectral sequence is constructed and used to calculate homology and homotopy groups of a number of interesting spaces.
Learning Outcome
- Knowledge: To display knowledge of the course topics and content, at the level of a beginning researcher.
- Skills: To be able to use the acquired knowledge to perform computations.
- Competencies: To be able to produce independent proofs in extension of the acquired knowledge.
Academic qualifications
Algebraic Topology
(AlgTop) and Homological Algebra (HomAlg), or
equivalent.
Teaching and learning methods
4 hours lectures and 3 hours
exercises per week for 9 weeks.
Workload
- Category
- Hours
- Lectures
- 36
- Preparation
- 143
- Theory exercises
- 27
- Total
- 206
Sign up
Self Service at KUnet
As
an exchange, guest and credit student - click here!
Continuing Education - click here!
Exam
- Credit
- 7,5 ECTS
- Type of assessment
- Continuous assessmentClass participation (accounting for 20% of the grade), weekly homework
(each weighted equally, accounting for 40% of the grade) and a final
in-class problem set (accounting for 40% of the grade). - Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
One internal examiner.
- Re-exam
- 30 minutes oral exam with preparation time. During the preparation time all aids are allowed. During the examination no aids are allowed.
Criteria for exam assesment
The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course.
Course information
- Language
- English
- Course code
- NMAA09039U
- Credit
- 7,5 ECTS
- Level
- Full Degree Master
- Duration
- 1 block
- Placement
- Block 4
- Schedule
- B
- Course capacity
- No limit
- Continuing and further education
- Study board
- Study Board of Mathematics and Computer Science
Contracting department
- Department of Mathematical Sciences
Course responsibles
- Jesper Grodal (2-79764f7c7083773d7a843d737a)
Lecturers
Dan Petersen
Saved on the
27-04-2015