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SUMMARY:Ieke Moerdijk (Universiteit Utrecht)
DTSTART:20210201T083000Z
DTEND:20210201T100000Z
DTSTAMP:20260417T111013Z
UID:OWHHS2021/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWHHS2021/1/
 ">Varieties of trees.</a>\nby Ieke Moerdijk (Universiteit Utrecht) as part
  of Opening Workshop (IRP Higher Homotopy Structures 2021\, CRM-Bellaterra
 )\n\n\nAbstract\nIn this lecture we will present various categories of tre
 es\, together with Quillen model structures on the associated categories o
 f simplicial presheaves. The central example is formed by the category Ome
 ga and the complete Segal model structure on its simplicial presheaves\, w
 hich provides a model for the homotopy theory of infinity-operads analogou
 s to (and in fact\, in a strict sense\, containing) Rezk's complete Segal 
 model for infinity categories. But unlike this simplicial case\, the case 
 of trees allows for many variations of the underlying category of trees as
  well as of the model structure. To mention a few variations\, one obtains
  in this way model categories for the homotopy category of unital operads\
 , that of algebras over a given infinity-operad\, and that of infinite loo
 p spaces\, for example.\n\nThe lecture will survey these topics in a hopef
 ully generally accessible way. Later in the programme\, we will go into so
 me more technical aspects of the theory.\n\nReference: G. Heuts\, I. Moerd
 ijk\, Trees in Algebra and Geometry – An introduction to dendroidal homo
 topy theory (draft of book available on our websites).\n
LOCATION:https://researchseminars.org/talk/OWHHS2021/1/
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