Home /  Cubical Sets (Part 1): Necklaces and cubical categories

Seminar

Cubical Sets (Part 1): Necklaces and cubical categories May 20, 2020 (01:00 PM PDT - 02:00 PM PDT)
Parent Program:
Location: SLMath: Online/Virtual
Speaker(s) Brandon Doherty (Stockholm University)
Description No Description
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Necklaces And Cubical Categories

Abstract/Media

Zoom Link:

https://msri.zoom.us/s/93059090699

 

We discuss a characterization of the left adjoint of the cubical homotopy coherent nerve functor in terms of necklaces in a simplicial set. We apply this characterization to show that the homotopy coherent nerve and its left adjoint form a Quillen adjunction between the Joyal model structure on simplicial sets and a model structure on cubical categories which is analogous to the Bergner model structure on simplicial categories.

No Notes/Supplements Uploaded

Necklaces And Cubical Categories

H.264 Video 25039_28428_8355_Necklaces_and_Cubical_Categories.mp4