Dynamical and qKZ equations modulo \(p^s\): an example

DOI10.1134/S0001434622110335zbMath1506.37089arXiv2205.03980MaRDI QIDQ2680751

Alexander Varchenko

Publication date: 4 January 2023

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.03980

zbMATH Keywords

hypergeometric solutionqKZ equationsDwork congruencemaster polynomial

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Difference operators (39A70) Elliptic functions and integrals (33E05) Non-Archimedean dynamical systems (11S82)

Related Items (1)

Polynomial solutions modulo \(p^s\) of differential KZ and dynamical equations

Cites Work

• \(p\)-adic cycles
• Hypergeometric solutions of the quantum differential equation of the cotangent bundle of a partial flag variety
• Solutions of KZ differential equations modulo \(p\)
• Quantum difference equation for Nakajima varieties
• Dwork’s congruences for the constant terms of powers of a Laurent polynomial
• Dwork Crystals II
• Dwork Crystals I
• Quantum groups and quantum cohomology

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