Dualité de Langlands quantique
Annales de la faculté des sciences de Toulouse Mathématiques (2014)
- Volume: 23, Issue: 1, page 129-158
- ISSN: 0240-2963
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topSchechtman, Vadim. "Dualité de Langlands quantique." Annales de la faculté des sciences de Toulouse Mathématiques 23.1 (2014): 129-158. <http://eudml.org/doc/275341>.
@article{Schechtman2014,
abstract = {Un survol des conjectures de Drinfeld, Beilinson, Gaitsgory et al. et de résultats de Gaitsgory sur la correspondance de Langlands quantique.},
author = {Schechtman, Vadim},
journal = {Annales de la faculté des sciences de Toulouse Mathématiques},
keywords = {quantum Langlands correspondence; quantum Satake correspondence},
language = {fre},
number = {1},
pages = {129-158},
publisher = {Université Paul Sabatier, Toulouse},
title = {Dualité de Langlands quantique},
url = {http://eudml.org/doc/275341},
volume = {23},
year = {2014},
}
TY - JOUR
AU - Schechtman, Vadim
TI - Dualité de Langlands quantique
JO - Annales de la faculté des sciences de Toulouse Mathématiques
PY - 2014
PB - Université Paul Sabatier, Toulouse
VL - 23
IS - 1
SP - 129
EP - 158
AB - Un survol des conjectures de Drinfeld, Beilinson, Gaitsgory et al. et de résultats de Gaitsgory sur la correspondance de Langlands quantique.
LA - fre
KW - quantum Langlands correspondence; quantum Satake correspondence
UR - http://eudml.org/doc/275341
ER -
References
top- Arinkin (D.), Gaitsgory (D.).— Singular support of coherent sheaves, and the geometric Langlands conjecture, arXiv :1201.6343. Zbl06395112
- Beilinson (A.), Bernstein (J.).— A proof of Jantzen conjectures, I.M.Gelfand Seminar, Adv. Soviet Math. (AMS), 16, Part 1, p. 1-51 (1993). Zbl0790.22007MR1237825
- Beilinson (A.), Drinfeld (V.).— Quantization of Hitchin integrable system and Hecke eigensheaves.
- Beilinson (A.), Schechtman (V.).— Determinant bundles and Virasoro algebras, Comm. Math. Phys., 118, p. 651-701 (1988). Zbl0665.17010MR962493
- Belavin (A.), Polyakov (A.), Zamolodchikov (A.).— Infinite conformal symmetry in 2D quantum field theory, Nucl. Phys. B241, p. 333-380 (1984). Zbl0661.17013
- Berezin (F.A.), Gelfand (I.M.).— Quelques remarques sur la théorie des fonctions sphériques sur les variétés symétriques riemanniennes (russe), Trudy MMO (Travaux de la Société Mathématique de Moscou) 5, p. 311-351 (1956). Zbl0075.11803MR86266
- Braverman (A.), Gaitsgory (D.).— Geometric Eisenstein series, Invent. Math. 150, p. 287-384 (2002). Zbl1046.11048MR1933587
- Bezrukavnikov (R.), Finkelberg (M.), Schechtman (V.).— Factorizable sheaves and quantum groups, Lect. Notes in Math. 1691, Springer-Verlag, Berlin (1998). Zbl0938.17016MR1641131
- Finkelberg (M.), Mirkovich (I.).— Semiinfinite flags. I. Case of global curve ; Feigin (B.), Finkelberg (M.), Kuznetsov (A.), Mirkovich (I.), Semiinfinite flags. II. Local and global intersection cohomology of quasimaps spaces, dans : Differential topology, infinite-dimensional Lie algebras, and applications, p. 81-112 et p. 113-148, AMS Transl. Ser. 2, 194, Providence, RI (1999). Zbl1076.14511MR1729360
- Frenkel (E.), Ben-Zvi (D.).— Vertex algebras and algebraic curves, 2nd Edition, Math. Surveys and Monographs 88, AMS, Providence, RI (2004). Zbl1106.17035MR2082709
- Frenkel (E.), Gaitsgory (D.), Vilonen (K.).— Whittaker patterns in the geometry of moduli spaces of bundles on curves, Ann. Math. 153, p. 699-748 (2001). Zbl1070.11050MR1836286
- Frenkel (E.), Gaitsgory (D.), Vilonen (K.).— On the geometric Langlands conjecture, JAMS 15, p. 367-417 (2001). Zbl1071.11039MR1887638
- Gaitsgory (D.).— Twisted Whittaker models and factorizable sheaves, Selecta Math. (N.S.) 13, p. 617-659 (2008). Zbl1160.17009MR2403306
- Gaitsgory (D.).— On a vanishing conjecture appearing in the Geometric Langlands correspondence, Ann. Math. 160, p. 617-682 (2004). Zbl1129.11050MR2123934
- Ginzburg (V.).— Perverse sheaves on a loop group and Langlands duality, arXiv :alg-geom/2511007. MR1092806
- Helgason (S.).— Groups and geometric analysis, Academic Press (1984). Zbl0543.58001MR754767
- Kazhdan (D.), Lusztig (G.).— Tensor structures arising from affine Lie algebras I-IV JAMS, 6, p. 905-947, p. 949-1011 (1993) ; 7, p. 335-381, p. 383-453 (1994). Zbl0786.17017MR1186962
- Lafforgue (L.).— Chtoukas de Drinfeld et correspondance de Langlands, Inv. Math. 147, p. 1-241 (2002). Zbl1038.11075MR1875184
- Laumon (G.).— Transformation de Fourier généralisée, arXiv :alg-geom/9603004.
- Maaß(H.).— Über eine neue Art von nichtanalytichen automorphen Funktionen und die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen, Math. Ann. 21, p. 141-183 (1949). Zbl0033.11702MR31519
- Macdonald (I.G.).— Spherical functions on a -adic Chevalley group, Bull. Amer. Math. Soc. Vol. 74, 3, p. 520-525 (1968). Zbl0273.22012MR222089
- Mirković (I.), Vilonen (K.).— Geometric Langlands duality and representations of algebraic groups over commutative rings, Ann. of Math. (2) 166, p. 95-143 (2007). Zbl1138.22013MR2342692
- Satake (I.).— Theory of spherical functions on reductive algebraic groups over -adic fields, Publ. Math. IHES 18, p. 5-69 (1963). Zbl0122.28501MR195863
- Stoyanovsky (A.).— On quantization of the geometric Langlands correspondence, arXiv :math/9911108. Zbl1311.81213
- Stoyanovsky (A.).— Quantum Langlands duality and Conformal field theory, arXiv :math/0610974. Zbl1174.81005
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