Geometric Topology (GeomTop)
Course content
Geometric topology is the study of geometric objects, most particularly manifolds, using tools from algebraic topology. The course covers a selection of the most important topics within this area, such as Poincaré duality, characteristic classes, and foundations of differential topology.
MSc Programme in Mathematics
MSc Programme in Mathematics with a minor subject
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.
4 hours lectures and 4 hours exercise session per week for 9 weeks.
Example of course literature:
- Introduction to Differential Topology by Bröcker and Jänich, Characteristic Classes by Milnor and Stasheff
- Differential Forms in Algebraic Topology by Bott and Tu
- parts of the textbook Algebraic Topology by Allen Hatcher.
Algebraic Topology (AlgTop) and Geometry 2 (Geom2) or equivalent
is strongly recommended. Advanced Vector spaces (AdVec) and
Homological Algebra (HomAlg) or equivalent are also recommended.
Academic qualifications equivalent to a BSc degree are
recommended.
- ECTS
- 7,5 ECTS
- Type of assessment
-
Continuous assessment
- Type of assessment details
- Weekly homework counting 50 % towards the grade and a 2 hours 'closed-book' final in-class problem set counting 50 % of the grade.
- Aid
- Only certain aids allowed
All aids allowed for the weekly homework. No books and no electronic aids are allowed for the 2 hours final in-class test, only personally created handwritten notes on paper are allowed.
- Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
One internal examiner
- Re-exam
-
30 minutes oral examination with no aids or preparation time. The oral examination will cover the entire material of the course, including the exercise sets.
Criteria for exam assessment
The student should convincingly and accurately demonstrate the knowledge, skills and competences described under Intended learning outcome.
Single subject courses (day)
- Category
- Hours
- Lectures
- 36
- Preparation
- 134
- Theory exercises
- 36
- English
- 206
Kursusinformation
- Language
- English
- Course number
- NMAK21000U
- ECTS
- 7,5 ECTS
- Programme level
- Full Degree Master
- Duration
-
1 block
- Placement
- Block 3
- Schedulegroup
-
B
- Capacity
- No limitation – unless you register in the late-registration period (BSc and MSc) or as a credit or single subject student.
- Studyboard
- Study Board of Mathematics and Computer Science
Contracting department
- Department of Mathematical Sciences
Contracting faculty
- Faculty of Science
Course Coordinator
- Søren G (8-6e6873687b707c7a4774687b6f35727c356b72)
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