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SUMMARY:David Blanc (Haifa University)
DTSTART:20230206T103000Z
DTEND:20230206T113000Z
DTSTAMP:20260422T135812Z
UID:BilTop/46
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BilTop/46/">
 An introduction to infinity categories</a>\nby David Blanc (Haifa Universi
 ty) as part of Bilkent Topology Seminar\n\n\nAbstract\nIn studying the hom
 otopy theory of topological spaces it soon becomes apparent that the homot
 opy category itself is not sufficient\, since many homotopy invariants can
 not be described or calculated in that category.\n\nSince there are other 
 settings\, such as the chain complexes of homological algebra\, in which t
 his holds\, Quillen proposed an axiomatization of such situations in terms
  of model categories. However\, these turn out\n\nto be too restrictive fo
 r dealing with certain questions\, and in particular with homotopy commuta
 tive diagrams and the invariants (such as Toda brackets) which they encode
 . Dwyer and Kan suggested an\n\nalternative simplicial approach\, which la
 ter devolved into several independent models for what we now call infinity
  categories\, in terms of simplicially enriched categories\, simplicial sp
 aces\, quasi-categories\, and others.\n\nIn the talk we will provide examp
 les of questions best addressed in this setting\, and briefly describe the
  form they take in the different models\, as time permits.\n
LOCATION:https://researchseminars.org/talk/BilTop/46/
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