Rational Catalan Combinatorics (Type A) Drew Armstrong UniversityofMiami www.math.miami.edu/∼armstrong AIM Workshop December 17–21, 2012 Catalan Combinatorics? Catalan Combinatorics? Catalan Combinatorics? Catalan Combinatorics? Catalan Combinatorics? Catalan Combinatorics? This talk is the red stuff. Introduction to Everything Rational Plan for the Talk (cid:73) Catalan Numbers (cid:73) Dyck Paths (cid:73) Noncrossing Partitions (cid:73) Associahedra (cid:73) Core Partitions (cid:73) Parking Functions (cid:73) Parking Spaces (q and t) (cid:73) Connect to Lie Theory Introduction to Everything Rational Plan for the Talk (cid:73) Catalan Numbers (cid:73) Dyck Paths (cid:73) Noncrossing Partitions (cid:73) Associahedra (cid:73) Core Partitions (cid:73) Parking Functions (cid:73) Parking Spaces (q and t) (cid:73) Connect to Lie Theory Introduction to Everything Rational Plan for the Talk (cid:73) Catalan Numbers (cid:73) Dyck Paths (cid:73) Noncrossing Partitions (cid:73) Associahedra (cid:73) Core Partitions (cid:73) Parking Functions (cid:73) Parking Spaces (q and t) (cid:73) Connect to Lie Theory
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