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SUMMARY:Models for $(\\infty\,n)$-categories with discreteness conditions 
 - Julie  Bergner (University of Virginia)
DTSTART:20230615T090000Z
DTEND:20230615T100000Z
UID:TALK199906@talks.cam.ac.uk
DESCRIPTION:There are two ways of turning Segal spaces into models for up-
 to-homotopy categories\, or $(\\infty\,1)$-categories: either asking that 
 the space of objects be discrete\, or requiring Rezk's completeness condit
 ion. &nbsp\;When generalizing to higher $(\\infty\,n)$-categories\, both o
 f these approaches have been taken to multisimplicial models\, in the form
  of Segal $n$-categories and $n$-fold complete Segal spaces\, but models g
 iven by $\\Theta_n$-diagrams have focused on the completeness conditions. 
 &nbsp\;In this talk\, we'll discuss how to get a $\\Theta_n$-model with di
 screteness conditions\, but also address the question of when these condit
 ions can be mixed and matched with one another.
LOCATION:Seminar Room 1\, Newton Institute
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