On s-Catalan combinatorics

17.04.2018 15:15 - 16:45

Cesar Ceballos (Univ. Wien)

The Catalan numbers constitute one of the most important sequences in combinatorics. They are known to count a great variety of objects and appear in connection with diverse areas in mathematics. Many Catalan families have been generalized in various directions, including Fuss-Catalan and rational Catalan generalizations. In this talk, I will present a wider generalization of some of these families and bijections between them. Our generalization is indexed by a composition s; when s=(2,...,2) and s=(m,...,m) we recover some of the Catalan and Fuss-Catalan families, respectively.
The talk will be very basic and no previous knowledge is assumed. This is joint current work with Rafael Gonzalez.


Ch. Krattenthaler


Dissertantenraum, Freihaus, Turm A, 8. OG., Wiedner Hauptstr. 8-10, 1040 Wien