Proceedings of the 28-th International Conference on Formal Power Series and Algebraic Combinatorics
4-8 Jul 2016 Vancouver, British Columbia (Canada)

Extended abstracts listed by author > Thomas Hugh

Wednesday 6
Combinatorics
Cedric Chauve
› 11:30 - 12:00 (30min)
› Djavad Mowafaghian Cinema
Cataland: Why the Fuss?
Christian Stump  1  , Hugh Thomas  2  , Nathan Williams  3  
1 : Institute für Mathematik, Freie Universität Berlin, Germany
2 : LaCIM, Université du Québec à Montréal, Montréal (Québec)
3 : LaCIM, Université du Québec à Montréal à Montréal, C.P. 8888, Succ. Centre-Ville, Montréal, Québec, H3C 3P8, Canada

The main objects of noncrossing Catalan combinatorics associated to a finite Coxeter system are noncross- ing partitions, sortable elements, and cluster complexes. The first and the third of these have known Fuss–Catalan generalizations. We provide new viewpoints for these, introduce a corresponding generalization of sortable elements as elements in the positive Artin monoid, and show how this perspective ties together all three generalizations. 



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