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Geometric Topology (GeomTop)
Provider: Faculty of Science

Activity no.: 7005-22-07-31 
Enrollment deadline: 07/02/2022
PlaceDepartment of Mathematical Sciences
Universitetsparken 5, 2100 København Ø
Date and time07.02.2022, at: 08:00 - 08.04.2022, at: 16:00
Regular seats50
ECTS credits7.50
Contact personNina Weisse    E-mail address: weisse@math.ku.dk
Enrolment Handling/Course OrganiserSøren Galatius    E-mail address: galatius@math.ku.dk
Written languageEnglish
Teaching languageEnglish
Semester/BlockBlock 3
Scheme groupB
Exam formContinuous assessment
Exam detailsWeekly homework counting 50 % towards the grade and a 2 hours 'closed-book' final in-class problem set counting 50 % of the grade.
Grading scale7 point grading scale. For PhD students: Passed / Not Passed
Course workload
Course workload categoryHours
Lectures36.00
Preparation143.00
Theory exercises27.00
Sum206.00
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.

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.

Literature
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.

Teaching and learning methods
4 hours lectures and 3 hours exercise session per week for 9 weeks.

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