Evènement pour le groupe Combinatoire Énumérative et Algébrique

Date 2011-11-25  10:45-11:45
TitrePromising q,t-Narayana polynomials 
RésuméSome q,t-Catalan polynomials are relatively famous polynomials symmetric in q and t that may be defined as an enumeration of Dyck paths of the same size according to two statistics. These polynomials appear in various, sometimes more algebraic, contexts. In a joint work with Mark Dukes, we were lead to the definition of a promising familly of q,t-Narayana polynomials that may defined as an enumeration of parallelogram polyonominoes with the same bounding box according to two statistics. It remains to place these polynomials in the litterature on the subject, but we can present a relatively natural path via the sandpile model between those two families of polynomials apparently both symmetric in q and t. 
OrateurYvan Le Borgne 

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