26 citations · 51 across the 7 of their papers we have counts for
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Gamma sheaves on reductive groups
Alexander Braverman, David Kazhdan
The purpose of this paper is to introduce and study certain irreducible perverse l-adic sheaves on a reductive group G over a finite field (we call them gamma-sheaves). One can con…
Generalization of a theorem of Waldspurger to nice representations
David Kazhdan, Alexander Polishchuk
A theorem of Waldspurger states that the Fourier transform of a stable distribution on the Lie algebra of a simply-connected semisimple group over a p-adic field, is again stab…
Fourier transform over finite field and identities between Gauss sums
David Kazhdan, Alexander Polishchuk
This is a sequel to math.AG/0003009. Here we study identities for the Fourier transform of "elementary functions" over finite field containing "exponents" of monomial rational func…
Gamma-functions of representations and lifting
Alexander Braverman, David Kazhdan, V. Vologodsky
Let G be the group of points of a quasi-split reductive algebraic group over a local field F. It follows from the local Langlands conjectures that to every non-trivial additive cha…
Generalized character sums associated to regular prehomogeneous vector spaces
David Kazhdan, Alexander Polishchuk
In this paper we consider the analogue of the Sato's functional equation for the prehomogeneous vector spaces over finite fields. The corresponding character sums depend on a relat…
Versal deformations of formal arcs
Mikhail Grinberg, David Kazhdan
Let X be a complex algebraic variety, and L(X) be the scheme of formal arcs in X. Let f be an arc whose image is not contained in the singularities of X. We show that the formal ne…