Discrete CATS Seminar

12/06/2018 - 2:00pm
745 Patterson Office Tower
Speaker(s) / Presenter(s): 
Susanna Lang, U Kentucky

Speaker:  Susanna Lang, U Kentucky

Title:  Rational Catalan Numbers and Associahedra


Classical Catalan numbers are known to count over 200 combinatorial objects, including Dyck paths, noncrossing partitions, and vertices of the classical associahedra. In this talk we discuss a generalization of the classical Catalan numbers and their connection with a class of simplicial complexes known as rational associahedra. We show rational associahedra have many nice properties, in particular they are shellable. This talk follows the paper "Rational Associahedra and Noncrossing Partitions" by Armstrong, Rhoades, and Williams.

This is Susanna Lang's Masters exam.

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