Mathematics Colloquia and Seminars

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In my talk I will give an introduction to skyline augmented fillings. They are similar to young semi-standard tableaux, except they are based on weak compositions instead of partitions, and there are more restrictions on which numbers can be placed in which boxes. I will show how skyline augmented fillings can be used to define the non symmetric schur functions and discuss two bijections; one between young semi-standard tableau and skyline augmented fillings, as well as a bijection between N-matrices and skyline augmented fillings, which is an analogue of the RSK algorithm (a bijection between N-matrices and pairs of YSST).