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SUMMARY:The diagrammatic model of (∞\,n)-categories [MPIM]
DTSTART:20260203T100000Z
DTEND:20260203T113000Z
DTSTAMP:20260420T154700Z
UID:indico-event-1101@math-events.uni-bonn.de
DESCRIPTION:Speakers: Clémence Chanavat (Tallinn University of Technology
 )\n\nAbstract Homotopy Theory Seminar\nIn 2020\, Hadzihasanovic proposed a
  program that revisits Kapranov and Voevodsky's diagrammatic sets as the b
 asis of a model of (∞\,n)-categories.\nIts development in the past two y
 ears have reached some milestones\, including: various Quillen model struc
 tures (presenting the (∞\,n)-categories and two flavors of (∞\, ω)-ca
 tegories)\, the homotopy hypothesis\, a semi-strictification result\, defi
 nition of Gray products and joins\, and a presentation of the associated "
 stricter" (0\, ω)-categories. \nIn this talk\, I will describe the diagr
 ammatic model and overview some of these results.I will conclude with thou
 ghts and conjectures that could settle the question of comparing the stand
 ard and the diagrammatic models of (∞\,n)-categories.\nThis talk is part
 ly based on joint work with Amar Hadzihasanovic.\n\nhttps://math-events.un
 i-bonn.de/event/1101/
LOCATION:MPIM\, Vivatsgasse\,  7 - Seminar Room (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1101/
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