Models of (infty,2)-categories

Abstract: An $(\infty,2)$-category should be a weak version of a strict $2$-category, in which compositions are well-defined, associative and unital up to some higher coherence. There are various models making this precise. In this talk, I will describe a direct comparison between two particular models (which will be introduced), namely $\Theta_2$-spaces and saturated $2$-complicial sets. This is joint work in progress with Julie Bergner and Martina Rovelli.

algebraic topology

Audience: researchers in the topic

Online algebraic topology seminar

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