Proceedings of the 28-th International Conference on Formal Power Series and Algebraic Combinatorics
4-8 Jul 2016 Vancouver, British Columbia (Canada)
Staircase diagrams and the enumeration of smooth Schubert varieties
Edward Richmond  1, 2  , William Slofstra  3  
1 : Department of Mathematics, Oklahoma State University, Stillwater, OK
2 : Oklahoma State University [Stillwater]  -  Website
Stillwater, OK 74078 -  États-Unis
3 : Institute for Quantum Computing [Waterloo]  (IQC)  -  Website
University of Waterloo 200 University Ave. West Waterloo, Ontario, Canada N2L 3G1 -  Canada

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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