Newell-Littlewood numbers

SEMINARS, HARVARD-MIT COMBINATORICS

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March 2, 2022 4:15 pm - 5:15 pm
MIT, Room 2-139
Speaker:

Shiliang Gao - UIUC

The Newell-Littlewood numbers are defined in terms of the  Littlewood-Richardson coefficients. Both arise as tensor product  multiplicities for a classical Lie group. A. Klyachko connected  eigenvalues of sums of Hermitian matrices to the saturated LR-cone and  established defining linear inequalities. We prove analogues for the  saturated NL-cone. This is based on work with Gidon Orelowitz, Nicolas  Ressayre and Alexander Yong.