2018-03-28: Thorsten Altenkirch (Nottingham)

Sat, 21 Oct 2023 21:24:08 +0100

Thorsten Altenkirch (Nottingham)

What is a category, actually?

Abstract

Let us revisit the definition of a category and define it in a way which has the advantage that we can generalize it to higher dimensions. Why am I interested in higher categories (or specifically (\infty,1)-categories)? I have a few problems in Homotopy Type Theory which I think can be solved using these beasts: the coherence problem for type theory in type theory (in the moment I cannot even define the standard model) and generalizing the Hungarian approach to Quotient Inductive Inductive Types (QIITs) to Higher Inductive Inductive Types (HIITs).

2018-03-28 12:30:00 UTC
LT1310