Kursussøgning, efter- og videreuddannelse – Københavns Universitet

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Kursussøgning, efter- og videreuddannelse

Algebraic Topology II (AlgTopII)

Practical information
Study year 2016/2017
Time
Block 4
Programme level Full Degree Master
ECTS 7,5 ECTS
Course responsible
  • Dan Erik Petersen (7-67647173687768437064776b316e7831676e)
  • Department of Mathematical Sciences
Course number: NMAA09039U

Course 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.

Recommended prerequisites

Algebraic Topology (AlgTop) and Homological Algebra (HomAlg), or equivalent.

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Education

MSc Programme in Mathematics

Studyboard

Study Board of Mathematics and Computer Science

Course type

Single subject courses (day)

Teacher

Dan Petersen

Duration

1 block

Schedulegroup

B
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Teaching and learning methods

4 hours lectures and 3 hours exercises per week for 9 weeks.

Capacity

No limit

Language

English

Workload

Category Hours
Preparation 143
Lectures 36
Theory exercises 27
English 206

Exam

Type of assessment

Continuous assessment
Weekly homework (each weighted equally, accounting for 70% of the grade) and a final in-class problem set (accounting for 30% of the grade). You will have three hours for the in-class problem set.

Aid

Written aids allowed

Marking scale

7-point grading scale

Criteria for exam assessment

The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course.

Censorship form

No external censorship
One internal examiner.

Re-exam

30 minutes oral exam with 30 min. preparation time. During the preparation time all aids are allowed. During the examination no aids are allowed.

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