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Benedikt Ahrens (INRIA Nantes)
Tuesday 01 November 2016, 14:15-15:15
Displayed categories
- đ¤ Speaker: Benedikt Ahrens (INRIA Nantes)
- đ Date & Time: Tuesday 01 November 2016, 14:15 - 15:15
- đ Venue: MR5, Centre for Mathematical Sciences
Abstract
Displayed categories formalize the activity of building new categories from old ones by considering `objects with structure’. They also allow one to give a simple definition of fibration without referring to equality of objects. In my talk, I develop some `displayed category theory’. I then give some use cases: first, the construction of an equivalence of categories between cwf structures and split type structures, and second, a proof of the Structure Identity Principle using displayed category theory. Afterwards I discuss the definition of fibrations in terms of displayed categories. This is joint work with Peter Lumsdaine.
Series This talk is part of the Category Theory Seminar series.
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