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SUMMARY:A Hopf Algebra Model for Dwyer's Tame Homotopy Theory
DTSTART:20220524T101500
DTEND:20220524T111500
DTSTAMP:20260916T064652Z
UID:488ce3af2d3d585c11ec79aa84fbedc70af614356af0ae08d1833992
CATEGORIES:Conferences - Seminars
DESCRIPTION:Haoqing Wu\, École Polytechnique Fédérale de Lausanne\nRoug
 hly speaking\, a 3-connective space is tame if its homotopy groups become 
 more divisible as its degree increases. As an analogy to Quillen’s ratio
 nal homotopy theory\, Dwyer showed that the homotopy theory of tame spaces
  is equivalent to the homotopy theory of certain dg Lie algebras over the 
 integer. In this talk\, I will first sketch a modern approach to Quillen
 ’s rational homotopy theory. Then I will explain how one can adjust this
  approach to build an Hopf algebra model for tame spaces. Finally\, I will
  explain the Hopf algebra model is equivalent to Dwyer’s Lie algebra mod
 el via a universal enveloping algebra functor.
LOCATION:MA A3 30 https://plan.epfl.ch/?room==MA%20A3%2030
STATUS:CONFIRMED
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