On a conjecture of Braverman and Kazhdan
  In this paper a proof of Conjecture 9.12 of Braverman and Kazhdan in their article "gamma-functions of representations and lifting" on the acyclicity of their l-adic gamma-sheaves over certain affine spaces is given for GL(n). 
S. Cheng, B. C. Ngo
math.AG math.RT