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PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:Topology Seminar: Combinatorial models for stable homotopy theory
DTSTART:20180515T091500
DTEND:20180515T101500
DTSTAMP:20260413T152853Z
UID:f2f130f51258482dc7d568920a65e11b9137124b5232bb9a3c85b739
CATEGORIES:Conferences - Seminars
DESCRIPTION:Matija Bašić (University of Zagreb)\nWe will recall the defi
 nition of dendroidal sets as a generalization of simplicial sets\, and pre
 sent the connection (Quillen equivalence) to connective spectra which give
 s a factorization of the so-called K-theory spectrum functor from symmetri
 c monoidal categories to spectra. We will present a common generalization
  of  two results of Thomason: 1) posets model all homotopy types\; 2) sy
 mmetric monoidal categories model all connective spectra. We will introduc
 e a notion of multiposets (special type of coloured operads) and of the su
 bdivision of dendroidal sets which can be used to show that multiposets mo
 del all connective spectra. If time permits we will mention homology of de
 ndroidal sets as it provides a means to define equivalences of multiposets
  in an internal combinatorial way.
LOCATION:CM 1 113 https://plan.epfl.ch/?room==CM%201%20113
STATUS:CONFIRMED
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