Course - Algebraic Topology III - MA8403
Algebraic Topology III
Choose study yearLessons are not given in the academic year 2018/2019
About
About the course
Course content
The course is offered every second year, provided there are sufficiently many students, next time Fall 2019. If not sufficiently many students register, it may be offered as guided self-study course.
The contents may vary from time to time, but will consist of central subjects for Ph. D. students in the field. Central topics will be methods from generalized homology and cohomology theories, category theory and simplicial theory.
Learning outcome
1. Knowledge.
The course will consist of central subjects for Ph. D. students in the field. Central topics will be methods from generalized homology and cohomology theories, category theory, simplicial theory, homotopy theory and other subjects which may vary from time to time
2. Skills
The students should learn and be able to conduct researches in algebraic topology. They should be also able to apply the homology and cohomology theories, in related areas of Mathematics.
3. Competence
The students should be able to participate in scientific discussions and conduct researches on high international level in algebraic topology as well as in projects in the related areas of Mathematics.
Learning methods and activities
Lectures, alternatively guided self-study.
Recommended previous knowledge
The course is based on TMA4190 Manifolds,MA3403 Algebraic topology I and MA3405 Algebraic topology II.
Course materials
Given at beginning of course.
Subject areas
- Topology