More about spans than you ever wanted to know

Abstract: Higher categories of spans, also called correspondences, play a key role in many algebraic and algebro-geometric constructions --- from six functor formalisms to the constructions of Hall algebras. In this talk, I will describe the fundamental categorical structures which underpin ongoing research (joint with Jonte Gödicke, Quoc Ho, and Yang Hu) aimed at constructing braided monoidal categories using higher categories of spans. In particular, I will explain a new approach to $(\infty,n)$-categories of spans and deduce from it a new universal property which allows us to construct the $E_2$ (braided) algebras described in last week's talk by Jonte Gödicke.

algebraic geometryrepresentation theory

Audience: researchers in the topic

Algebra and Geometry Seminar @ HKUST

Series comments: Algebra and Geometry seminar at the Hong Kong University of Science and Technology (HKUST).

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