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Agenda, Revised
Materials from the seminars. The agenda was revised to include online sessions due to the Covid-19 pandemic
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Agenda
Abstracts for six Science and Engineering Saturday Seminars
Kronecker Coefficients For Some Near-Rectangular Partitions
We give formulae for computing Kronecker coefficients occurring in the
expansion of , where both and are nearly
rectangular, and have smallest parts equal to either 1 or 2. In particular, we
study , ,
, and
. Our approach relies on the interplay between
manipulation of symmetric functions and the representation theory of the
symmetric group, mainly employing the Pieri rule and a useful identity of
Littlewood. As a consequence of these formulae, we also derive an expression
enumerating certain standard Young tableaux of bounded height, in terms of the
Motzkin and Catalan numbers
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