Krichever modules for difference and differential equations
Analyse complexe, systèmes dynamiques, sommabilité des séries divergentes et théories galoisiennes (I) - Volume en l'honneur de Jean-Pierre Ramis, Astérisque no. 296  (2004), p. 207-225
@incollection{AST_2004__296__207_0,
     author = {van der Put, Marius and Reversat, Marc},
     title = {Krichever modules for difference and differential equations},
     booktitle = {Analyse complexe, syst\`emes dynamiques, sommabilit\'e des s\'eries divergentes et th\'eories galoisiennes (I) - Volume en l'honneur de Jean-Pierre Ramis},
     editor = {Loday-Richaud Mich\`ele},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {296},
     year = {2004},
     pages = {207-225},
     zbl = {1086.12001},
     mrnumber = {2136011},
     language = {en},
     url = {http://www.numdam.org/item/AST_2004__296__207_0}
}
van der Put, Marius; Reversat, Marc. Krichever modules for difference and differential equations, in Analyse complexe, systèmes dynamiques, sommabilité des séries divergentes et théories galoisiennes (I) - Volume en l'honneur de Jean-Pierre Ramis, Astérisque, no. 296 (2004), pp. 207-225. http://www.numdam.org/item/AST_2004__296__207_0/

[D-R-S-Z] L. Di Vizio, J.-P. Ramis, J. Sauloy & C. Zhang "Équations aux q-différences", Gaz. Math. 96 (2003), et laboratoire Emile Picard, U.F.R. M.I.G. Toulouse, (2003). | MR 1988639 | Zbl 1063.39015

[Dr] V. G. Drinfel'D - "Commutative subrings of certain non commutative rings", Functional Anal. Appl. 11 (1977), p. 9-12. | Article | MR 476732 | Zbl 0368.14011

[F-G-K-V] E. Frenkel, D. Gaitsgory, D. Kazhdan & K. Vilonen - "Geometric realization of Whittaker functions and the Langlands conjecture", J. Amer. Math. Soc. 11 (1988), p. 451-484. | Article | MR 1484882 | Zbl 1068.11501

[F-G-V] E. Frenkel, D. Gaitsgory & K. Vilonen - "On the geometric Langlands conjecture", J. Amer. Math. Soc. 15 (2002), p. 367-417. | Article | MR 1887638 | Zbl 1071.11039

[G-P-R-V] U. E. Gekeler. M. Van Der Put, M. Reversat & J. Van Geel (eds.) - Drinfeld Modules, Modular Schemes and Applications, World Scientific Publications Co, Inc., River Edge, 1997. | Article | MR 1630594 | Zbl 0897.00023

[Kr] I. M. Krichever "Methods of algebraic geometry in the theory of non-linear equations", Russian Math. Surveys 32 (1977), no. 6, p. 185-213. | Article | Zbl 0386.35002

[L1] G. Laumon - Preprint Orsay, 1986.

[L2] G. Laumon "Correspondance de Langlands géométrique pour les corps de fonctions", Duke Math. J. 54 (1987), no. 2, p. 309-351. | MR 899400 | Zbl 0662.12013

[Mu] D. Mumford - "An algebro-geometric construction of commuting operators and of solutions to the Toda lattice equation, Korteweg de Vries equation and related nonlinear equations", in Proceedings of the International Symposium, on Algebraic Geometry (Kyoto, 1977), 1977, p. 115-153. | MR 578857 | Zbl 0423.14007

[P-S] M. Van Der Put & M. F. Singer - Galois Theory of Difference Equations, Lect. Notes in Math., vol. 1666, Springer-Verlag, Berlin, 1997. | MR 1480919 | Zbl 0930.12006

[P-S03] M. Van Der Put, Galois Theory of Linear Differential Equations, Ergebnisse der Mathematik, Springer Verlag, 2003. | Zbl 1036.12008