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SUMMARY:Igor Sikora (Bilkent University)
DTSTART:20230320T103000Z
DTEND:20230320T113000Z
DTSTAMP:20260422T140101Z
UID:BilTop/51
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BilTop/51/">
 Model Categories II - Derived functors and Quillen adjunctions</a>\nby Igo
 r Sikora (Bilkent University) as part of Bilkent Topology Seminar\n\nLectu
 re held in SB-Z11.\n\nAbstract\nHaving the notion of a homotopy category\,
  we will define the notion of a derived functor. Further on\, we will proc
 eed to the idea of comparing model structures and their homotopy categorie
 s by Quillen functors. Therefore we will cover Quillen functors\, Quillen 
 adjunctions and Quillen equivalences. We will also prove that Quillen mode
 l structures on simplicial sets and topological spaces are Quillen equival
 ent. The talk will finish with a model structure on simplicial sets which 
 is relevant for the theory of quasicategories\, i.e.\, the Joyal model str
 ucture.\n
LOCATION:https://researchseminars.org/talk/BilTop/51/
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