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SUMMARY:Cubical Models of (∞\,1)-Categories
DTSTART:20201006T170000
DTEND:20201006T180000
DTSTAMP:20260511T081213Z
UID:408a60be258c06773aeb735dd503bd0b8c94fca604fb75f7b2346604
CATEGORIES:Conferences - Seminars
DESCRIPTION:Brandon Doherty\, University of Western Ontario\nWe describe 
 a new model structure on the category of cubical sets with connections who
 se cofibrations are the monomorphisms and whose fibrant objects are define
 d by the right lifting property with respect to inner open boxes\, the cub
 ical analogue of inner horns. We discuss the proof that this model structu
 re is Quillen equivalent to the Joyal model structure on simplicial sets v
 ia the triangulation functor\, and a new theory of cones in cubical sets w
 hich is used in this proof. We also introduce the homotopy category and ma
 pping spaces of a fibrant cubical set\, and characterize weak equivalences
  between fibrant cubical sets in terms of these concepts. This talk is bas
 ed on joint work with Chris Kapulkin\, Zachery Lindsey\, and Christian Sat
 tler\, arXiv:2005.04853.
LOCATION:World Wide Web https://epfl.zoom.us/j/94351048760
STATUS:CONFIRMED
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