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for events the day of Thursday, March 11, 2021.

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Thursday, March 11, 2021

3:00 pm in Zoom,Thursday, March 11, 2021
Algebra, Geometry and Combinatorics

Newell-Littlewood numbers

Shiliang Gao   [email] (University of Illinois at Urbana-Champaign)

Abstract: The Newell-Littlewood numbers are defined in terms of their celebrated cousins, the Littlewood-Richardson coefficients. Both arise as tensor product multiplicities for a classical Lie group. They are the structure coefficients of the K. Koike-I. Terada basis of the ring of symmetric functions. Recent work of H. Hahn studies them, motivated by R. Langlands' beyond endoscopy proposal; we address her work with a simple characterization of detection of Weyl modules. This motivates further study of the combinatorics of the numbers. We consider analogues of ideas of J. De Loera-T. McAllister, H. Derksen-J. Weyman, S. Fomin-W. Fulton-C.-K. Li-Y.-T. Poon, W. Fulton, R. King-C. Tollu-F. Toumazet, M. Kleber, A. Klyachko, A. Knutson-T. Tao, T. Lam-A. Postnikov-P. Pylyavskyy, K. Mulmuley-H. Narayanan-M. Sohoni, H. Narayanan, A. Okounkov, J. Stembridge, and H. Weyl. This is joint work with Gidon Orelowitz and Alexander Yong. Please email Colleen at cer2 (at) illinois (dot) edu for the Zoom ID and password.

Submitted by cer2