HU Credits:
2
Degree/Cycle:
2nd degree (Master)
Responsible Department:
Mathematics
Semester:
1st Semester
Teaching Languages:
Hebrew
Campus:
E. Safra
Course/Module Coordinator:
Mr. Lior Yanovski
Coordinator Office Hours:
By appointment
Teaching Staff:
Mr. Lior Yanovski
Course/Module description:
Introductory course in category theory for 3rd year undergraduate students and 1st year graduate students.
Course/Module aims:
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.
Attendance requirements(%):
0
Teaching arrangement and method of instruction:
Lecture
Course/Module Content:
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.
Required Reading:
none
Additional Reading Material:
Course/Module evaluation:
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 %
Additional information:
This is an introductory course in category theory with emphasis on the categorical language and examples.
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