University of Cambridge > Talks.cam > Logic & Semantics for Dummies > Horizontal & vertical categorification: from monoids to bicategories

Horizontal & vertical categorification: from monoids to bicategories

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Nathanael Arkor.

Categorification refers to the process of generalising a mathematical structure by considering it as a special case in a much richer setting. Horizontal categorification provides extra structure by considering a structure as a single object in a category; whereas vertical categorification takes a definition and replaces the sets with categories, the functions with functors, and so on. We will explore these two concepts in relation to a prototypical example: the monoid. In the process, we will develop two useful categorical structures: the monoidal category and the bicategory.

This talk is part of the Logic & Semantics for Dummies series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2021 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity