Geometric Topology (GeomTop)

Course content

The course covers various topics in the area of algebraic and geometric topology, such as Poincaré duality, characteristic classes, or foundations of differential topology.

Education

MSc Programme in Mathematics
MSc Programme in Mathematics with a minor subject

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.

4 hours lectures and 3 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, and parts of the textbook Algebraic Topology by Allen Hatcher.

Algebraic Topology (AlgTop) or equivalent is strongly recommended. Homological Algebra (HomAlg) or equivalent is also recommended.

Academic qualifications equivalent to a BSc degree are recommended.

Written
Oral
Individual
Continuous feedback during the course of the semester
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 exam. 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
  • 143
  • Theory exercises
  • 27
  • 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 limit.
The number of seats may be reduced in the late registration period
Studyboard
Study Board of Mathematics and Computer Science
Contracting department
  • Department of Mathematical Sciences
Contracting faculty
  • Faculty of Science
Course Coordinators
  • Søren Galatius   (8-6a646f64776c7876437064776b316e7831676e)
  • Robert Wayne Burklund   (2-7565437064776b316e7831676e)
Saved on the 25-08-2023

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