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Jeu de taquin and a monodromy problem for Wronskians of polynomials

· 2009 · math.AG · arXiv 0902.1321

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abstract

The Wronskian associates to d linearly independent polynomials of degree at most n, a non-zero polynomial of degree at most d(n-d). This can be viewed as giving a flat, finite morphism from the Grassmannian Gr(d,n) to projective space of the same dimension. In this paper, we study the monodromy groupoid of this map. When the roots of the Wronskian are real, we show that the monodromy is combinatorially encoded by Schutzenberger's jeu de taquin; hence we obtain new geometric interpretations and proofs of a number of results from jeu de taquin theory, including the Littlewood-Richardson rule.

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math.HO 1

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2026 1

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UNVERDICTED 1

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Benchmarks in Leipzig

math.HO · 2026-06-04 · unverdicted · novelty 5.0

Mathematicians compiled 100 research-level questions and evaluated state-of-the-art LLMs across multiple stages, leaving only 2 unsolved.

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  • Benchmarks in Leipzig math.HO · 2026-06-04 · unverdicted · none · ref 7 · internal anchor

    Mathematicians compiled 100 research-level questions and evaluated state-of-the-art LLMs across multiple stages, leaving only 2 unsolved.