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UID:7738@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20161006T110000
DTEND;TZID=Europe/Paris:20161006T120000
DTSTAMP:20241120T204817Z
URL:https://www.i2m.univ-amu.fr/evenements/aspects-of-2-algebras-operads-b
 imodules-and-analytic-functors/
SUMMARY:André Joyal (Université du Québec à Montréal (UQAM)): Aspects 
 of 2-algebras: operads\, bimodules and analytic functors
DESCRIPTION:André Joyal: We exploit the analogy between the notion of symm
 etric monoidal closed category and that of commutative ring. We say that a
  presentable monoidal closed category is a 2-rig (a rig is like a ring\, b
 ut the addition may not have an inverse). A category enriched over a 2-rig
  is like a module over a ring. The 2-category of symmetric 2-rigs is simil
 ar to the category of commutative rings. Polynomial functors are like poly
 nomial functions. The category of polynomial functors is cartesian closed 
 (by a result of Hyland Fiore\, Gambino\, Winskel). We extend this result t
 o the category of bimodules between operads.\n\n\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Andre_Joyal.jpg
CATEGORIES:Séminaire,Logique et Interactions
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