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SUMMARY:Associativity of Cosmash Products in Algebra
DTSTART:20220308T101500
DTEND:20220308T111500
DTSTAMP:20260916T201411Z
UID:4cfa3418cde9c4d45bd4a9d639e6d2d3819d331761efd3fae77357b7
CATEGORIES:Conferences - Seminars
DESCRIPTION:Corentin Vienne\, Université Catholique de Louvain\nA. Carbon
 i and G. Janelidze extend the definition of smash product from pointed top
 ological spaces to pointed objects in a suitable category. Moreover\, they
  study a condition they call smash associativity. In this talk\, we intere
 st ourselves in the dual notion: the associativity of cosmash products. An
  interesting fact about this categorical notion is that it characterizes t
 he variety of commutative and associative K-algebras for an infinite field
  K. The promise of this talk is to convince you of the validity of the lat
 ter statement.\n\nIn order to present things in an understandable way\, we
  will first introduce the notion of a binary cosmash product. We see how i
 t naturally leads to a suitable definition of binary commutators by lookin
 g at some classical examples. We then try to extend these notions the tern
 ary case\, and even to the n-ary case for some natural number n. From here
 \, what cosmash associativity means can be explained essentially without e
 ffort. In the end\, we discuss the main result and\, if time allows it\, t
 he techniques used to prove it.\n\nJoint work with Ülo Reimaa and Tim Van
  der Linden.
LOCATION:MA A3 30 https://plan.epfl.ch/?room==MA%20A3%2030
STATUS:CONFIRMED
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