2nd degree (Master)
Mr. Lior Yanovski
Coordinator Office Hours:
Prof Tomer Schlank
Introductory course in category theory for 3rd year undergraduate students and 1st year graduate students.
Familiarity with the basic concepts and theorems of category theory and proficiency in the categorical language with emphasis on examples.
Learning outcomes - On successful completion of this module, students should be able to:
See course aims.
Teaching arrangement and method of instruction:
The course will cover the following topics:
1. Categories, functors & natural transformations: definitions, examples, basic constructions.
2. Universal properties, representable functors, Yoneda lemma.
3. (co)limits: definitions & examples, special kinds (finite, connected, filtered etc.)
4. (co)limit calculus:
commutation, functors preserving (co)limits, cofinality etc.
5. Adjoint functors: definitions, examples and basic properties. The adjoint functor theorem (?).
In addition, it will cover some of the following topics:
6. More on (co)limits: Kan extensions, (co)ends, weighted (co)limits.
7. Sheaves, localization and topoi: definitions, examples, characterization.
8. Abelian categories: definitions & examples, intro to homolgical algebra, the embedding theorem.
9. Monoidal categories.
10. Intro to 2-categories.
Additional Reading Material:
End of year written/oral examination 100 %
Presentation 0 %
Participation in Tutorials 0 %
Project work 0 %
Assignments 0 %
Reports 0 %
Research project 0 %
Quizzes 0 %
Other 0 %
This is an introductory course in category theory with emphasis on the categorical language and examples.