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SUMMARY:Conjecturing a Characterization of Joyal Fibrations
DTSTART:20210517T171500
DTEND:20210517T181500
DTSTAMP:20260525T080222Z
UID:944ef4753c29114ea0a35755284e8138f9814e03178fc1ae7d932cf0
CATEGORIES:Conferences - Seminars
DESCRIPTION:Matt Feller\, University of Virginia\nThe Joyal model structur
 e on simplicial sets has been an important setting for developing the theo
 ry of higher category theory. The fibrant objects are the quasi-categories
 \, a model for (∞\,1)-categories\, which have a straightforward characte
 rization: they are the simplicial sets with lifts of inner horn inclusions
 . However\, so far in the literature there has been no such characterizati
 on of the fibrations in terms of a countable set of concrete maps. We give
  a conjecture of such a characterization\, describing a class of ``special
  horn'' extensions. We use Cisinski's theory to build a model structure wh
 ose fibrant objects are simplicial sets with special horn extensions.
LOCATION:World Wide Web https://epfl.zoom.us/j/94351048760
STATUS:CONFIRMED
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