Spectral curves, opers and integrable systems.

DOI10.1007/s10240-001-8193-1zbMath1113.14301arXivmath/9902068OpenAlexW2089876532WikidataQ103372349 ScholiaQ103372349MaRDI QIDQ1860727

David Ben-Zvi, Edward V. Frenkel'

Publication date: 20 March 2003

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9902068

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Algebraic moduli problems, moduli of vector bundles (14D20) Relationships between algebraic curves and integrable systems (14H70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Vector bundles on curves and their moduli (14H60)

Related Items (13)

On the relative opers in dimension one ⋮ Euler-Poincaré flows on \(\mathrm{sl}_{ n }\) opers and integrability ⋮ Generalized B-opers ⋮ Affine Gaudin models and hypergeometric functions on affine opers ⋮ Equations of Hurwitz schemes in the infinite Grassmannian ⋮ Virasoro constraints in Drinfeld-Sokolov hierarchies ⋮ Parabolic opers and differential operators ⋮ Higgs Bundles and Local Systems on Riemann Surfaces ⋮ Flat Rank Two Vector Bundles on Genus Two Curves ⋮ INTEGRABLE SYSTEMS AND LOCAL FIELDS ⋮ Variations along the Fuchsian locus ⋮ Tau functions and Virasoro symmetries for Drinfeld-Sokolov hierarchies ⋮ A Weil-Barsotti formula for Drinfeld modules.

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