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.

Organiser:

Ch. Krattenthaler

Location:

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