Faculty of Science

Geometric Topology (GeomTop)
Provider: Faculty of Science

Activity no.: 7005-23-07-31
	Enrollment deadline: 06/02/2023

Place

Department of Mathematical Sciences

Date and time

06.02.2023, at: 08:00 - 14.04.2023, at: 16:00

Regular seats

ECTS credits

7.50

Contact person

Nina Weisse E-mail address: weisse@math.ku.dk

Enrolment Handling/Course Organiser

Søren G E-mail address: galatius@math.ku.dk

Written language

English

Teaching language

English

Semester/Block

Block 3

Scheme group

Exam form

Continuous assessment

Exam details

Weekly homework counting 50 % towards the grade and a 2 hours 'closed-book' final in-class problem set counting 50 % of the grade.

Grading scale

7 point grading scale. For PhD students: Passed / Not Passed

Course workload

Course workload category	Hours
Lectures	36.00
Preparation	143.00
Theory exercises	27.00

Sum	206.00

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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