Multiplication kernels

DOI10.1007/s11005-021-01491-1zbMath1493.14026arXiv2105.04238OpenAlexW4206687707WikidataQ114224881 ScholiaQ114224881MaRDI QIDQ2062629

Maxim Kontsevich, Alexander Odesskii

Publication date: 27 December 2021

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.04238

zbMATH Keywords

Langlands correspondenceintegrable systemmultiplication kernelWeinstein symplectic monoidal category

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Relationships between algebraic curves and integrable systems (14H70) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Rationality questions in algebraic geometry (14E08) Geometric Langlands program (algebro-geometric aspects) (14D24) Associative algebras and orders (16H99)

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Characteristic functions of 𝑝-adic integral operators ⋮ When the Fourier transform is one loop exact?

Cites Work

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• Sklyanin elliptic algebras
• Symplectic categories
• Holonomic \(\mathcal D\)-modules and positive characteristic
• Generalized Euler integrals and \(A\)-hypergeometric functions
• Jordan decomposition for a class of singular differential operators
• Integral formulas associated with products of Bessel functions: A new partial differential equation approach
• Notes on Motives in Finite Characteristic
• An analytic version of the Langlands correspondence for complex curves
• Wall-Crossing Structures in Donaldson–Thomas Invariants, Integrable Systems and Mirror Symmetry

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