Geodesic
Recent work on differential Galois theory
Séminaire Bourbaki : volume 1997/98, exposés 835-849, Astérisque, no. 252 (1998), Exposé no. 849, 27 p.

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MR Zbl EuDML 
Van der Put, Marius. Recent work on differential Galois theory, dans Séminaire Bourbaki : volume 1997/98, exposés 835-849, Astérisque, no. 252 (1998), Exposé no. 849, 27 p.. http://geodesic.mathdoc.fr/item/SB_1997-1998__40__341_0/
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     title = {Recent work on differential {Galois} theory},
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     number = {252},
     mrnumber = {1685624},
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     url = {http://geodesic.mathdoc.fr/item/SB_1997-1998__40__341_0/}
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[A1] Y. André - Séries de Gevrey de type arithmétique, Preprint May 1997.

[A2] Y. André - Sur la conjecture des p -courbures de Grothendieck-Katz, Preprint October 1997. | MR

[Bo] A. Borel - Linear Algebraic Groups, W.A. Benjamin, Inc. New York, Amsterdam, 1969. | Zbl | MR

[D] E. Dynkin - Maximal subgroups of the classical groups, Trudy Moskov. Mat. Obschetsva, 1, 39-160, Amer. Math. Soc. Transl., Ser. 2, 6 (1957), 245-378. | Zbl | MR

[De] P. Deligne - Catégories Tannakiennes, The Grothendieck Festschrift 2, p 111- 195, Progress in Math. 87, 1990, Birkhäuser. | Zbl | MR

[De-M] P. Deligne and M. Milne - Tannakian categories, Springer Lecture Notes in Math. vol 900, 1982, 101-228. | Zbl

[F-H] W. Fulton and J. Harris - Representation Theory, Graduate Texts in Mathematics 129, Springer Verlag, 1991. | Zbl | MR

[H] J. E. Humphreys - Linear Algebraic Groups, Second edition, Springer Verlag, New York, 1981. | Zbl

[H-P] P. A. Hendriks and M. Van Der Put - Galois action on solutions of a differential equation, Journal of Symbolic Computation 19 (1995), no 6, 559-576. | Zbl | MR | DOI

[J] N. Jacobson - Lie Algebras, Dover Publications, Inc. New York, 1962. | Zbl | MR

[K] I. Kaplansky - An Introduction to Differential Algebra, Second edition, Hermann, Paris, 1976. | Zbl | MR

[Ka] N. Katz - Rigid Local Systems, Annals of Mathematical Studies, 1996 | Zbl | MR

[Ko] E. R. Kolchin - Differential Algebra and Algebraic Groups, Academic Press, New York, 1973. | Zbl | MR

[Kov] J. J. Kovacic - The inverse problem in the Galois theory of differential fields, Ann. of Math 89 (1969), 583-608. | Zbl | MR | DOI

[Ma] A. Magid - Lectures on Differential Galois Theory, AMS University Lecture series 7, 1994. | Zbl | MR | DOI

[M-R1] J. Martinet and J.-P. Ramis - Théorie de Galois différentielle et resommation, Computer Algebra and Differential Equations (E. Tournier ed), Academic Press, 1989, 115-214. | Zbl | MR

[M-R2] J. Martinet and J.-P. Ramis - Elementary acceleration and multisummability - Annales de l'Institut Henri Poincaré, Physique Théorique 54 (1991), no. 4, 331- 401. | Numdam | Zbl | EuDML | MR

[M-S1] C. Mitschi and M. F. Singer - Connected Linear Groups as Differential Galois Groups, Journal of Algebra 184 (1996), 333 -361. | Zbl | MR | DOI

[M-S2] C. Mitschi and M. F. Singer - The inverse problem in differential Galois theory, The Stokes Phenomenon and Hilbert's 16th Problem (B.L.J. Braaksma et al ed.), World Scientific, River Edge, NJ, 1996, 185-197. | Zbl | MR

[M-S3] C. Mitschi and M. F. Singer - On Ramis' solution of the local inverse problem of differential Galois theory, Journal of Pure and Applied Algebra 110 (1996), 185-194. | Zbl | MR | DOI

[P1] M. Van Der Put - Singular complex differential equations; An Introduction, Nieuw Archief voor Wiskunde, vierde serie 13 (1995), no. 3, 451-470. | Zbl | MR

[P2] M. Van Der Put - Symbolic analysis of differential equations, to appear in "Some Tapas of Computer Algebra" A.M. Cohen, H. Cuypers, H. Sterk eds., 1998. | Zbl | MR

[P3] M. Van Der Put - Galois theory of differential equations, Algebraic groups and Lie algebras, preprint Groningen, Sept 1997. | MR | Zbl

[R1] J.-P. Ramis - About the Inverse Problem in Differential Galois Theory: The Differential Abhyankar Conjecture, In "The Stokes Phenomenon and Hilbert's 16th Problem", World Scientific Publ. (Editors B.L.J. Braaksma, G.K. Immink, M. van der Put), Singapore 1996. | Zbl | MR

[R2] J.-P. Ramis - About the Inverse Problem in Differential Galois Theory: The Differential Abhyankar Conjecture, Manuscript for Astérisque, version 16-1-1995. | Zbl

[S] M. F. Singer - Direct and Inverse Problems in Differential Galois Theory, to be published in the introduction to Kolchin's collected works 1998.