Geodesic
Modular generalized Springer correspondence II: classical groups
Journal of the European Mathematical Society, Tome 19 (2017) no. 4, pp. 1013-1070.

Voir la notice de l'article provenant de la source EMS Press

We construct a modular generalized Springer correspondence for any classical group, by generalizing to the modular setting various results of Lusztig in the case of characteristic-0 coefficients.We determine the cuspidal pairs in all classical types, and compute the correspondence explicitly for SL(n) with coefficients of arbitrary characteristic and for SO(n) and Sp(2n) with characteristic-2 coefficients.
DOI : 10.4171/jems/687
Classification : 17-XX, 20-XX
Keywords: Springer correspondence, nilpotent cone, nilpotent orbits, perverse sheaves, cuspidal pairs, distinguished orbits, modular reduction 
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     author = {Pramod N. Achar and Anthony Henderson and Daniel Juteau and Simon Riche},
     title = {Modular generalized {Springer} correspondence {II:} classical groups},
     journal = {Journal of the European Mathematical Society},
     pages = {1013--1070},
     publisher = {mathdoc},
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     year = {2017},
     doi = {10.4171/jems/687},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/687/}
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Pramod N. Achar; Anthony Henderson; Daniel Juteau; Simon Riche. Modular generalized Springer correspondence II: classical groups. Journal of the European Mathematical Society, Tome 19 (2017) no. 4, pp. 1013-1070. doi : 10.4171/jems/687. http://geodesic.mathdoc.fr/articles/10.4171/jems/687/

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