MAT9570 – Algebraic K-theory
Course description
Schedule, syllabus and examination date
Course content
Algebraic K-theory of suitable categories, rings and spaces. General properties like additivity and approximation. Relations to algebraic geometry, geometric topology, number theory or topological K-theory.
Learning outcome
Definitions, basic results, examples and applications of algebraic K-theory.
Admission
PhD candidates from the University of Oslo should apply for classes and register for examinations through Studentweb.
If a course has limited intake capacity, priority will be given to PhD candidates who follow an individual education plan where this particular course is included. Some national researchers’ schools may have specific rules for ranking applicants for courses with limited intake capacity.
PhD candidates who have been admitted to another higher education institution must apply for a position as a visiting student within a given deadline.
Prerequisites
Recommended previous knowledge
MAT2200 – Groups, Rings and Fields, MAT3500 – Topology/MAT4500 – Topology and MAT4530 – Algebraic Topology I.
The following may be useful in some applications: MAT4200 – Commutative Algebra, MAT4210 – Algebraic Geometry I, MAT4250 – Number Theory, MAT4520 – Manifolds and MAT4540 – Algebraic Topology II.
Overlapping courses
*The information about overlaps for discontinued courses may not be complete. If you have questions, please contact the Department.
Teaching
3 hours of teaching per week.
Upon the attendance of three or fewer students, the lecturer may, in conjunction with the Head of Teaching, change the course to self-study with supervision.
Examination
Final oral examination.
Examination support material
No examination support material is allowed.
Language of examination
Subjects taught in English will only offer the exam paper in English.
You may write your examination paper in Norwegian, Swedish, Danish or English.
Grading scale
Grades are awarded on a pass/fail scale. Read more about the grading system.
Explanations and appeals
Resit an examination
Students who can document a valid reason for absence from the regular examination are offered a postponed examination at the beginning of the next semester.
Re-scheduled examinations are not offered to students who withdraw during, or did not pass the original examination.
Withdrawal from an examination
It is possible to take the exam up to 3 times. If you withdraw from the exam after the deadline or during the exam, this will be counted as an examination attempt.
Special examination arrangements
Application form, deadline and requirements for special examination arrangements.
Evaluation
The course is subject to continuous evaluation. At regular intervals we also ask students to participate in a more comprehensive evaluation.