Proceedings of the 28-th International Conference on Formal Power Series and Algebraic Combinatorics
4-8 Jul 2016 Vancouver, British Columbia (Canada)
Monday 4
Combinatorics
Mike Zabrocki
› 16:30 - 17:00 (30min)
› Djavad Mowafaghian Cinema
Staircase diagrams and the enumeration of smooth Schubert varieties
Edward Richmond  1  , William Slofstra  2  
1 : Department of Mathematics, Oklahoma State University, Stillwater, OK
2 : Institute for Quantum Computing, University of Waterloo, Waterloo, ON

In this extended abstract, we give a complete description and enumeration of smooth and rationally smooth Schubert varieties in finite type. In particular, we show that rationally smooth Schubert varieties are in bijection with a new combinatorial data structure called staircase diagrams



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