31 citations · 42 across the 8 of their papers we have counts for
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math.AG1999
Construction of central elements in the affine Hecke algebra via nearby cycles
Dennis Gaitsgory
Let be a reductive group, let be the corresponding affine Grassmannian and let be the affine flag variety. We construct, following an idea of B…
math.AG1999
Crystals via the affine Grassmannian
Alexander Braverman, Dennis Gaitsgory
Let be a connected reductive group over $\CC$ and let be the Langlands dual group. Crystals for were introduced by Kashiwara as certain ``combinatorial sk…
math.AG1999
Whittaker Patterns in the Geometry of Moduli Spaces of Bundles on Curves
E. Frenkel, D. Gaitsgory, K. Vilonen
Let G be a split connected reductive group over a finite field F_q, and N its maximal unipotent subgroup. V. Drinfeld has introduced a remarkable partial compactification of the mo…