La formule de Verlinde
Séminaire Bourbaki : volume 1994/95, exposés 790-804, Astérisque, no. 237 (1996), Exposé no. 794, 28 p. 
@incollection{SB_1994-1995__37__87_0,
     author = {Sorger, Christoph},
     title = {La formule de {Verlinde}},
     booktitle = {S\'eminaire Bourbaki : volume 1994/95, expos\'es 790-804},
     series = {Ast\'erisque},
     note = {talk:794},
     pages = {87--114},
     year = {1996},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {237},
     mrnumber = {1423621},
     zbl = {0878.17024},
     language = {fr},
     url = {https://www.numdam.org/item/SB_1994-1995__37__87_0/}
}
TY  - CHAP
AU  - Sorger, Christoph
TI  - La formule de Verlinde
BT  - Séminaire Bourbaki : volume 1994/95, exposés 790-804
AU  - Collectif
T3  - Astérisque
N1  - talk:794
PY  - 1996
SP  - 87
EP  - 114
IS  - 237
PB  - Société mathématique de France
UR  - https://www.numdam.org/item/SB_1994-1995__37__87_0/
LA  - fr
ID  - SB_1994-1995__37__87_0
ER  - 
%0 Book Section
%A Sorger, Christoph
%T La formule de Verlinde
%B Séminaire Bourbaki : volume 1994/95, exposés 790-804
%A Collectif
%S Astérisque
%Z talk:794
%D 1996
%P 87-114
%N 237
%I Société mathématique de France
%U https://www.numdam.org/item/SB_1994-1995__37__87_0/
%G fr
%F SB_1994-1995__37__87_0
Sorger, Christoph. La formule de Verlinde, dans Séminaire Bourbaki : volume 1994/95, exposés 790-804, Astérisque, no. 237 (1996), Exposé no. 794, 28 p.. https://www.numdam.org/item/SB_1994-1995__37__87_0/

[1] A. Beauville. Conformal Blocks, Fusion rules and the Verlinde formula, Prépublication alg-geom/9405001 (1994) | Zbl | MR

[2] A. Beauville ET Y. Laszlo. Conformal blocks and generalized theta functions, Comm. Math. Physics 164 (1994) 385-419 | Zbl | MR | DOI

[3] A. Beauville, M. S. Narasimhan ET S. Ramanan. Spectral curves and the generalised theta divisor, J. reine angew. Math. 398 (1989) 169-179 | Zbl | MR | EuDML

[4] A. Beilinson ET V. Schechtmann. Determinant bundles and Virasoro algebras, Comm. Math. Phys. 118 (1988) 651-701 | Zbl | MR | DOI

[5] A. Bertram. Generalized SU(2)-theta functions, Inv. Math. 113 (1993) 351-372 | Zbl | MR | EuDML | DOI

[6] A. Bertram ET A. Szenes. Hilbert polynomials of moduli spaces of rank 2 vector bundles II, Topology 32 (1993) 599-609 | Zbl | MR | DOI

[7] G. Daskalopoulos ET R. Wentworth. Local degeneration of the moduli space of vector bundles and factorisation of rank 2 theta functions, Math. Annalen 297 (1992) 417-466 | Zbl | MR | EuDML | DOI

[8] G. Daskalopoulos ET R. Wentworth. Factorisation of rank 2 theta functions II: the Verlinde formula, Prépublication (1994) | Zbl

[9] R. Donagi ET L. Tu. Theta functions for SL(n) versus GL(n), Prépublication (1992) | Zbl

[10] S. Donaldson. Gluing techniques in the cohomology of moduli spaces, à paraître au volume en mémoire de Andreas Floer (edité par H. Hofer, C. Taubes, E. Zehnder) (1994) | MR | Zbl

[11] J. M. Drezet ET M. S. Narasimhan. Groupe de Picard des variétés de modules de fibrés semi-stables sur les courbes algébriques., Invent. math. 97 (1989) 53-94 | Zbl | MR | EuDML | DOI

[12] G. Faltings. G-bundles and projective connections, J. Alg. Geometry 2 (1993) 507-568 | Zbl | MR

[13] G. Faltings. A proof of the Verlinda formula, J. Alg. Geometry 3 (1994) 347- 374 | Zbl | MR

[14] N. Hitchin. Flat connections and geometric quantization, Comm. Math. Phys. 131 (1990) 347-380 | Zbl | MR | DOI

[15] V. Kac. Infinite Dimensional Lie Algebras, Cambridge University Press, Cambridge (1985) | Zbl | MR

[16] V. Knizhnik ET A. Zamolodchikov. Current algebra and Wess-Zumino model in two dimensions, Nucl. Phys. B 247 (1984) | Zbl | MR | DOI

[17] S. Kumar. Demazure character formula in arbitrary Kac-Moody setting, Inv. math. 89 (1987) 395-423 | Zbl | MR | EuDML | DOI

[18] S. Kumar, M. S. Narasimhan ET A. Ramanathan. Infinite Grassmanians and Moduli Spaces of G-bundles, Math. Annalen 300 (1993) 395-423 | Zbl | MR | EuDML

[19] O. Mathieu. Formules de caractères pour les algèbres de Kac-Moody générales, Astérisque 159-160 (1988) | Zbl | MR | Numdam

[20] M. S. Narasimhan ET T. R. Ramadas. Factorisation of generalized Theta functions I, Inv. Math. 114 (1993) 565-623 | Zbl | MR | EuDML | DOI

[21] W. M. Oxbury ET S. M. J. Wilson. Reciprocity laws in the Verlinde formulae for classical groups, Prépublication, Durham University (1994) | Zbl

[22] T. Panteev. Comparison of generalized theta functions, Prépublication (1993) | Zbl

[23] C. Pauly. Espaces de modules de fibrés paraboliques et blocs conformes, Prépublication (1994) | Zbl

[24] T. R. Ramadas. Factorisation of generalized theta functions II, Prépublication, TIFR Bombay (1994) | Zbl

[25] G. Segal ET G. Wilson. Loop groups and equations of KdV type, Pub. math. IHES 61 (1985) 5-65 | Numdam | Zbl | MR | EuDML | DOI

[26] A. Szenes. Hilbert polynomials of moduli spaces of rank 2 vector bundles I, Topology 32 (1993.1) 587-597 | Zbl | MR | DOI

[27] A. Szenes. The combinatorics of the Verlinde formulas, Prépublication (1994) | MR | Zbl

[28] M. Thaddeus. Stable pairs, linear systems and the Verlinde formula, Inv. Math. 117 (1994) | Zbl | MR | EuDML | DOI

[29] Y. Tsuchimoto. On the coordinate-free description of the conformal blocks, J. Math. Kyoto Univ. 33 (1993) 29-49 | Zbl | MR | DOI

[30] A. Tsuchiya, K. Ueno ET Y. Yamada. Conformal Field Theory on Universal Family of Stable Curves with Gauge Symmetries, Adv. Studies in Pure Math. 19 (1989) 459-566 | Zbl | MR | DOI

[31] A. Tyurin. On periods of quadratic differentials, Russ. Math. Surv. 33 No. 3 (1978) 159 | Zbl | MR

[32] E. Verlinde. Fusion rules and modular transformations in 2d-conformal field theory., Nucl. Phys. B 300 (1988) 360-376 | Zbl | MR | DOI

[33] D. Zagier. On the cohomolgy of moduli spaces of rank two vector bundles over curves, (1991) | Zbl

[34] D. Zagier. Values of the zeta function and their applications, à paraître dans les annales du congrès européen des mathématiques (1992)