Category Theory

This a PhD level course also suitable for Master students. Master students can take the course under the heading "Selected Topics in Mathematics - Mathematical Logic".

Description: Category theory, as a tool of describing and reasoning about various structural concepts in a uniform way, is by now a common object in the toolboxes of mathematicians as well as of theoretical computer scientists, and with increasing applications also in other fields. The course intends to give a systematic first introduction to the concepts and methods of category theory to the interested graduate student  and to prepare the student for the application and further development of categorical methods in the student's own particular field.

Prerequisites: A certain level of mathematical maturity will be assumed. (Kunskaper motsvarande kandidatexamen i ett matematikbesläktat ämne. Minst 30 hp matematik på avancerad nivå. Engelska B eller motsvarande)

Textbook: Awodey: "Category theory"

                 Mac Lane: "Cateories for the working matematician"

               (Awodey is sufficient for the first couple of weeks. Supplementary reading TBA.)

Examination: Written exam. (PhD students are in addition required to give an in-class presentation of an approved topic of their own choosing)

For questions send an email to forssell@math.su.se.