Logo

Mathematical Sciences Research Institute

Home » Cubical Sets (Part 2): Varieties of Cubical Sets

Seminar

Cubical Sets (Part 2): Varieties of Cubical Sets May 04, 2020 (02:00 PM PDT - 03:00 PM PDT)
Parent Program:
Location: MSRI: Online/Virtual
Speaker(s) Tim Campion (University of Notre Dame)
Description No Description
Video
No Video Uploaded
Abstract/Media

We give an overview of the menagerie of different notions of cubical set. First, there are a number of inequivalent categories deserving of the name “category of cubical sets” (plain cubical sets, cubical sets with connections / symmetries, etc). Each one is a presheaf category on a small category which we call a cubical site. We will follow

Buccholtz and Morehouse in using Mauri’s theory of monoidal logic to systematically enumerate the possible choices of cubical site, and then discuss some more concrete ways of thinking about these various sites. We will also show that most of these sites are Eilenberg-Zilber categories, giving some combinatorial traction to their study.

 

Zoom meeting ID: 930-5909-0699

No Notes/Supplements Uploaded No Video Files Uploaded