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• W1837462315 abstract "We present a proof of the compositional shuffle conjecture, which generalizes the famous shuffle conjecture for the character of the diagonal coinvariant algebra. We first formulate the combinatorial side of the conjecture in terms of certain operators on a graded vector space $V_*$ whose degree zero part is the ring of symmetric functions $Sym[X]$ over $mathbb{Q}(q,t)$. We then extend these operators to an action of an algebra $tildeA$ acting on this space, and interpret the right generalization of the $nabla$ using an involution of the algebra which is antilinear with respect to the conjugation $(q,t)mapsto (q^{-1},t^{-1})$." @default.
• W1837462315 created "2016-06-24" @default.
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• W1837462315 date "2015-08-25" @default.
• W1837462315 modified "2023-10-01" @default.
• W1837462315 title "A proof of the shuffle conjecture" @default.
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