We sketch a proof of a conjecture of [13] that relates the geometric Eisenstein series sheaf with semi-infinite cohomology of the small quantum group with coefficients in the tilting module for the big quantum group.
Dans cette note on donne une esquisse de la démonstration d’une conjecture de [13] qui établit un lien entre le faisceau correspondant à la série d’Eisenstein géométrique et la cohomologie semi-infinie du petit groupe quantique à coefficients dans le module basculant pour le groupe quantique de Lusztig.
@article{AFST_2016_6_25_2-3_235_0,
author = {D. Gaitsgory},
title = {Eisenstein series and quantum groups},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {235--315},
publisher = {Universit\'e Paul Sabatier, Toulouse},
volume = {Ser. 6, 25},
number = {2-3},
year = {2016},
doi = {10.5802/afst.1495},
zbl = {1411.14020},
mrnumber = {3530159},
language = {en},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.1495/}
}
TY - JOUR AU - D. Gaitsgory TI - Eisenstein series and quantum groups JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2016 SP - 235 EP - 315 VL - 25 IS - 2-3 PB - Université Paul Sabatier, Toulouse UR - https://afst.centre-mersenne.org/articles/10.5802/afst.1495/ DO - 10.5802/afst.1495 LA - en ID - AFST_2016_6_25_2-3_235_0 ER -
%0 Journal Article %A D. Gaitsgory %T Eisenstein series and quantum groups %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2016 %P 235-315 %V 25 %N 2-3 %I Université Paul Sabatier, Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.1495/ %R 10.5802/afst.1495 %G en %F AFST_2016_6_25_2-3_235_0
D. Gaitsgory. Eisenstein series and quantum groups. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 25 (2016) no. 2-3, pp. 235-315. doi : 10.5802/afst.1495. https://afst.centre-mersenne.org/articles/10.5802/afst.1495/
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