Combinatorial Hopf Algebras and Mould Calculus
timetable:
Wed 10 Apr, 11:00 - 12:00, Sala Conferenze Centro De Giorgi
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A Set Operad of Formal Fractions and Dendriform-like Sub Operad
speaker: Florent Hivert ( Laboratoire de Recherche en Informatique Université Paris-Sud)abstract: Joint work with F. Chapoton and J.-C. Novelli
We introduce an operad of formal fractions, abstracted from the Mould operads and containing both the Dendriform and the Tridendriform operads. We consider the smallest set-operad contained in this operad and containing four specific elements of arity two, corresponding to the generators and the associative elements of the Dendriform and Tridendriform operads. We obtain a presentation of this operad (by binary generators and quadratic relations) and an explicit combinatorial description using a new kind of bi-colored trees. Similar results are also presented for related symmetric operads.
timetable:
Wed 10 Apr, 11:00 - 12:00, Sala Conferenze Centro De Giorgi
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