What You Will Learn!
- Objects, morphisms, functors and natural transformations
- Universal properties
- Yoneda's Lemma
- The principle of abstraction and generality
Description
Introduces the philosophy and basic results of category theory. The main one that has become quite well known is called Yoneda's Lemma and is a really fun way to apply the philosophy of category theory. We also have simple but fundamental notions in theory such as duality and universality which relate many of the constructions we knew about but perhaps didn't realise we related in this or that way. Will try to be a living course that grows with student participation.
Who Should Attend!
- Advanced high school senior students who seek a proper foundation in maths
- Undergraduate students who want to study graduate maths
- Smart people who want to understand category theory for whatever purpose eg programming, research, etc
- Fans of Grothendieck
