29 citations · 29 across the 1 of their papers we have counts for
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Le lemme fondamental pour les groupes unitaires
G. Laumon, B. C. Ngo
Let G be an unramified reductive group over a non archimedian local field F. The so-called "Langlands Fundamental Lemma" is a family of conjectural identities between orbital integ…
Alcoves et p-rang des variétés abéliennes
B. C. Ngô, A. Genestier
We study the relation between the -rank of abelian varieties in characteristic and the Kottwitz-Rapoport's stratification of the special fiber modulo of the moduli space…
Nearby cycles for local models of some Shimura varieties
T. Haines, B. C. Ngo
Kottwitz conjectured a formula for the (semi-simple) trace of Frobenius on the nearby cycles for the local model of a Shimura variety with Iwahori-type level structure. In this pap…
Résolutions de Demazure affines et formule de Casselman-Shalika géométrique
B. C. Ngo, P. Polo
We prove a conjecture of Frenkel, Gaitsgory, Kazhdan and Vilonen, related to Fourier coefficients of spherical perverse sheaves on the affine Grassmannian associated to a a split r…
Preuve d'une conjecture de Frenkel-Gaitsgory-Kazhdan-Vilonen
B. C. Ngo
We prove a conjecture of Frenkel-Gaitsgory-Kazhdan-Vilonen on some exponential sums related to the geometric Langlands correspondence. Our main ingredients are the resolution of Lu…