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L-function genera and applications

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arxiv 2311.17747 v2 pith:RJHHQB4O submitted 2023-11-29 math.NT

David Kazhdan , Andrei Okounkov This is my paper · ORCID
classification math.NT
keywords l-generaroleactionsalgebraicanalysisapplicationsassociatedcategorification
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We introduce equivariant L-genera associated to actions of Galois and related groups on algebraic varieties. We explain the role which these L-genera play in the spectral analysis of Eisenstein series. We also discuss the natural categorification of L-genera and its potential role in enumerative geometry.

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  1. Nonabelian shift operators and shifted Yangians

    math.AG 2024-12 conditional novelty 6.0 of 10

    New nonabelian shift operators and wall-crossing identities show that the quantized Coulomb branch of pure GL_n gauge theory is a quotient of the shifted Yangian Y_{-nα}(sl2), with vertex functions as Hecke eigenfunctions.

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