Selected Topics in Topology

Postgraduate course

Course description

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.