The University of Illinois Algebra-Geometry-Combinatorics Seminar
Spring 2024, Time: Thursdays 3-3:50PM, Place: Burrill Hall 124 / Altgeld Hall 345

Littlewood-Richardson coefficients and Newell-Littlewood numbers, Jaewon Min (UIUC) -- May 16th, 2024

By inventing the notion of honeycombs, A. Knutson and T. Tao proved the saturation conjecture for Littlewood-Richardson coefficients in 1999. The Newell-Littlewood numbers are a generalization of the Littlewood-Richardson coefficients [Gao-Orelowitz-Yong '21]. In ''stable range'', they are also tensor product multiplicities of classical Lie groups: type B, C and D [Koike ‘89]. By introducing honeycombs on a Möbius strip, I will discuss about the saturation conjecture for Newell-Littlewood numbers posed by S. Gao, G. Orelowitz and A. Yong.

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The seminar co-organizers are Ian Cavey, Andrew Hardt, Shiliang Gao, Elizabeth Kelley, and Alexander Yong.