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# Shiliang Gao, UIUC – Geometric Methods in Representation Theory Seminar

## February 18 @ 4:00 pm - 5:00 pm

Mode: In-Person

Location: Phillips Hall, Room 367

Title: *Newell-Littlewood*

Abstract: 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; see arxiv.org/abs/2005.09012, arxiv.org/abs/2009.09904, and arxiv.org/abs/2107.03152.