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SUMMARY:A unified treatment of commuting tensor products - Nicola Gambino 
 ( University of Manchester)
DTSTART:20250606T130000Z
DTEND:20250606T140000Z
UID:TALK232954@talks.cam.ac.uk
CONTACT:Thibaut Benjamin
DESCRIPTION:\nGiven two algebraic theories S and T\, their commuting tenso
 r product is a new algebraic theory in which the operations of S and T are
  required to commute with each other.  The analogue of this operation for 
 symmetric operads is the famous Boardman-Vogt tensor product.  A unified a
 ccount of these commuting tensor products was given by Garner and Lopez-Fr
 anco.\n\nHere\, we extend their analysis in two respects.  First\, we gene
 ralise it so as to make it applicable to the many-object case\, recovering
  as special case the Boardman-Vogt tensor product of symmetric multicatego
 ries\, subsuming work of Elmendorf and Mandell.  Secondly\, we investigate
  how the commuting tensor product acts on bimodules\, generalising  work o
 f Dwyer and Hess.\n\nThis is joint work with Richard Garner and Christina 
 Vasilakopoulou.
LOCATION:SS03\, Computer Laboratory
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