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SUMMARY:Topology Seminar: Motivic infinite loop spaces
DTSTART:20171114T101500
DTEND:20171114T111000
DTSTAMP:20260511T193044Z
UID:875c752cbc654aed1530d6bb600edb3bfb875de522ec8686e35ffce2
CATEGORIES:Conferences - Seminars
DESCRIPTION:Adeel Khan (Universität Regensburg)\nGiven a topological spac
 e X\, May’s recognition principle says that a structure of infinite loop
  space on X is equivalent to a group-like $E_\\infty$-monoid structure.  
 We will discuss an analogous result in motivic homotopy theory which says 
 that a structure of infinite P^1-loop space on a motivic space X is equiva
 lent to a homotopy coherent system of certain transfer maps.  This is bas
 ed on an analogue of the Pontrjagin-Thom construction which identifies sta
 ble homotopy groups of spheres with groups of framed bordisms.  This is j
 oint work with E. Elmanto\, M. Hoyois\, V. Sosnilo and M. Yakerson.
LOCATION:CM 0 12 https://plan.epfl.ch/?room=CM012
STATUS:CONFIRMED
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