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BEGIN:VEVENT
SUMMARY:The oo-Categorical Eckmann-Hilton Argument
DTSTART:20191118T101500
DTEND:20191118T111500
DTSTAMP:20260407T163724Z
UID:fcdb3375a996a9946f7ae774b412d307ee5c45b36eac8ccb38df75b1
CATEGORIES:Conferences - Seminars
DESCRIPTION:Lior Yanofsky\, Max-Planck-Institut für Mathematik\nThe class
 ical "Eckmann-Hilton argument" states that given a set with two unital bin
 ary operations that satisfy the interchange law\, the two operations must
  coincide and moreover\, this operation is associative and commutative. If
  we assume that both binary operations where associative to begin with\, 
 this result says that two interchanging commutative monoid structures on 
 a set must coincide and be commutative. In this form\, the Eckmann-Hilton 
 argument has a higher homotopical generalization in terms of the "additivi
 ty theorem". Namely\, the Boardman-Vogt tensor product of the operads E_n
  and E_m is E_(n+m). In joint work with Tomer Schlank we give a (different
 ) generalization of the non-associative Eckmann-Hilton argument in terms o
 f a lower bound on the connectivity of the spaces of n-ary operations of 
  the Boardman-Vogt tensor product of any two reduced oo-operads P and Q
  in terms of the connectivity of P and Q. In this talk\, I will give a qui
 ck introduction to oo-operads and the Boardman-Vogt tensor product\, stat
 e the main results and\, if time permits\, sketch the proof. \n 
LOCATION:MA A1 10 https://plan.epfl.ch/?room==MA%20A1%2010
STATUS:CONFIRMED
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