What is … a Catalan Number?

This page hosts information on Jean-Philippe Labbé's talk "What is … a Catalan Number?" at the "What is …?" seminar. The talk will take place on Friday, October 22, 2:00pm at the BMS Loft at Urania. Please note the special starting time.

Abstract

Catalan numbers form a sequence of natural numbers that counts a plethora of objects in mathematics. Thus, they appear constantly in enumerative combinatorics and many related fields like algebra, discrete geometry, representation theory and more. I will present their origin, discuss about some recursive and closed formulas and finally show some objects that are counted by Catalan numbers.

Slides

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