@incollection{SB_1997-1998__40__341_0, author = {Van der Put, Marius}, title = {Recent work on differential {Galois} theory}, booktitle = {S\'eminaire Bourbaki : volume 1997/98, expos\'es 835-849}, series = {Ast\'erisque}, note = {talk:849}, pages = {341--367}, publisher = {Soci\'et\'e math\'ematique de France}, number = {252}, year = {1998}, mrnumber = {1685624}, zbl = {0931.12008}, language = {en}, url = {http://www.numdam.org/item/SB_1997-1998__40__341_0/} }
TY - CHAP AU - Van der Put, Marius TI - Recent work on differential Galois theory BT - Séminaire Bourbaki : volume 1997/98, exposés 835-849 AU - Collectif T3 - Astérisque N1 - talk:849 PY - 1998 SP - 341 EP - 367 IS - 252 PB - Société mathématique de France UR - http://www.numdam.org/item/SB_1997-1998__40__341_0/ LA - en ID - SB_1997-1998__40__341_0 ER -
%0 Book Section %A Van der Put, Marius %T Recent work on differential Galois theory %B Séminaire Bourbaki : volume 1997/98, exposés 835-849 %A Collectif %S Astérisque %Z talk:849 %D 1998 %P 341-367 %N 252 %I Société mathématique de France %U http://www.numdam.org/item/SB_1997-1998__40__341_0/ %G en %F SB_1997-1998__40__341_0
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://www.numdam.org/item/SB_1997-1998__40__341_0/
[A1] Séries de Gevrey de type arithmétique, Preprint May 1997.
-[A2] Sur la conjecture des -courbures de Grothendieck-Katz, Preprint October 1997. | MR
-[Bo] Linear Algebraic Groups, W.A. Benjamin, Inc. New York, Amsterdam, 1969. | MR | Zbl
-[D] Maximal subgroups of the classical groups, Trudy Moskov. Mat. Obschetsva, 1, 39-160, Amer. Math. Soc. Transl., Ser. 2, 6 (1957), 245-378. | MR | Zbl
-[De] Catégories Tannakiennes, The Grothendieck Festschrift 2, p 111- 195, Progress in Math. 87, 1990, Birkhäuser. | MR | Zbl
-[De-M] Tannakian categories, Springer Lecture Notes in Math. vol 900, 1982, 101-228. | Zbl
and -[F-H] Representation Theory, Graduate Texts in Mathematics 129, Springer Verlag, 1991. | MR | Zbl
and -[H] Linear Algebraic Groups, Second edition, Springer Verlag, New York, 1981. | Zbl
-[H-P] Galois action on solutions of a differential equation, Journal of Symbolic Computation 19 (1995), no 6, 559-576. | DOI | MR | Zbl
and -[J] Lie Algebras, Dover Publications, Inc. New York, 1962. | MR | Zbl
-[K] An Introduction to Differential Algebra, Second edition, Hermann, Paris, 1976. | MR | Zbl
-[Ka] Rigid Local Systems, Annals of Mathematical Studies, 1996 | MR | Zbl
-[Ko] Differential Algebra and Algebraic Groups, Academic Press, New York, 1973. | MR | Zbl
-[Kov] The inverse problem in the Galois theory of differential fields, Ann. of Math 89 (1969), 583-608. | DOI | MR | Zbl
-[Ma] Lectures on Differential Galois Theory, AMS University Lecture series 7, 1994. | DOI | MR | Zbl
-[M-R1] Théorie de Galois différentielle et resommation, Computer Algebra and Differential Equations (E. Tournier ed), Academic Press, 1989, 115-214. | MR | Zbl
and -[M-R2] Elementary acceleration and multisummability - Annales de l'Institut Henri Poincaré, Physique Théorique 54 (1991), no. 4, 331- 401. | EuDML | Numdam | MR | Zbl
and -[M-S1] Connected Linear Groups as Differential Galois Groups, Journal of Algebra 184 (1996), 333 -361. | DOI | MR | Zbl
and -[M-S2] 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. | MR | Zbl
and -[M-S3] On Ramis' solution of the local inverse problem of differential Galois theory, Journal of Pure and Applied Algebra 110 (1996), 185-194. | DOI | MR | Zbl
and -[P1] Singular complex differential equations; An Introduction, Nieuw Archief voor Wiskunde, vierde serie 13 (1995), no. 3, 451-470. | MR | Zbl
-[P2] Symbolic analysis of differential equations, to appear in "Some Tapas of Computer Algebra" A.M. Cohen, H. Cuypers, H. Sterk eds., 1998. | MR | Zbl
-[P3] Galois theory of differential equations, Algebraic groups and Lie algebras, preprint Groningen, Sept 1997. | MR | Zbl
-[R1] 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. | MR | Zbl
-[R2] About the Inverse Problem in Differential Galois Theory: The Differential Abhyankar Conjecture, Manuscript for Astérisque, version 16-1-1995. | Zbl
-[S] Direct and Inverse Problems in Differential Galois Theory, to be published in the introduction to Kolchin's collected works 1998.
-