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Category Theory 2024 - a NITheCS SATACS course

Outline:

In this course we will explore various topics in category theory. The choice of topics can range from basic to advanced and will depend on the existing knowledge of the subject among the participants. Category theory provides a unifying language for conceptualising phenomena across different disciplines, including subjects within pure mathematics, as well as some aspects of quantum physics, computer science, biology, and others.

Skills outcome:

This course introduces students to basic concepts of category theory, which are useful when applying category theory as a language of conceptualisation in various disciplines. Upon completing the course, you would have gained the skills of making sense of, working with and applying these concepts.

Prerequisites:

Experience with mathematical thinking and working with a symbolic language (e.g., experience with mathematical formalisms). 

See the previous courses (not required): Category Theory 2022 - an NGA course, Category Theory 2023 - a NITheCS SATACS course

Schedule:

10 interactive onlne sessions: from 16 November 2024 till 25 January 2025 (Saturdays 11:00-13:00 South Africa, UTC+2). 

Registration/links

Register to receive the zoom link:

https://us06web.zoom.us/meeting/register/tZwudOyppzMoGtf95kzkOuW9N4YhHw1WfyA_

WhatsApp link: https://chat.whatsapp.com/K5fCCeO9RoY1fQZqzfzcaV

Those who would like to take this NITheCS SATACS course formally, must also register with NITheCS by following these instructions: Please complete the Student Application Form and have your supervisor complete the Supervisor’s Support Form. To apply, you require a Google account. Please click if you need to create a free Google account.

Lecture Notes

Here is a link to the lecture notes in progress (which will be updated regularly): https://www.overleaf.com/read/zfwzykmtvckg#6b8c8d

Interactive Lecture Notes: https://category-theory-2024.glitch.me/

Lecture 3 

(scroll down for previous lectures) 

Lecture 2 


Lecture 1




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