On a conjecture of Braverman and Kazhdan
S. Cheng, B. C. Ngo
TL;DR
This paper proves a specific conjecture by Braverman and Kazhdan regarding the acyclicity of gamma-sheaves for GL(n), advancing understanding in the area of gamma-functions of representations.
Contribution
It provides a proof of Conjecture 9.12 for GL(n), confirming the acyclicity of gamma-sheaves in this case.
Findings
Proof of Conjecture 9.12 for GL(n) established
Acyclicity of gamma-sheaves confirmed for certain affine spaces
Advances understanding of gamma-functions in representation theory
Abstract
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).
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Geometry and complex manifolds