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Seminar

Cubical Sets (Part 1): Necklaces and cubical categories May 20, 2020 (01:00 PM PDT - 02:00 PM PDT)
Parent Program:
Location: MSRI: Online/Virtual
Speaker(s) Brandon Doherty (University of Western Ontario)
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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.

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Necklaces And Cubical Categories

H.264 Video 25039_28428_8355_Necklaces_and_Cubical_Categories.mp4