Selected Topics in Topology

Postgraduate course

ECTS credits: 10
Teaching semesters
Course code: MAT343
Teaching language: English
Resources: Schedule

Select course description for semester

Objectives and Content

Homotopical algebra, geometric topology, K-theory, homotopy theory, characteristic classes, applications of homotopy theory in analysis and algebra, highly structured ring spectra, operads, and functor calculus.

Learning Outcomes

After completing the course, students should be able to:

Understand and prove fundamental results in topology.
Recall the key definitions and concepts of the course.
Apply methods from algebraic topology to answer geometric questions.
Perform computations in concrete cases.

Semester of Instruction

Irregular, course will be offered if it is on this course list: Workbook: Emneliste for innreisende utvekslingsstudenter (uhad.no)

Required Previous Knowledge

MAT244 Algebraic Topology

Recommended Previous Knowledge

MAT242 Topology and MAT243 Manifolds

Forms of Assessment

Oral examination

Grading Scale

The grading scale used is A to F. Grade A is the highest passing grade in the grading scale, grade F is a fail.