3 problems

0 votes0 replies1 view
Vanishing conjecture for Whittaker inner integrals on $GL_n$
Whittaker vanishing conjecture. If $J$ satisfies this dimension equation, then $J$ is zero for every choice of data.
Conjectureopenautomorphic-forms global-integrals whittaker-modelsarXiv posted 2 days ago
0 votes0 replies0 views
The length conjecture for global integrals on $GL_n$
The length conjecture. If $I$ satisfies the dimension equation and $l>1$ , then $I$ is zero for every choice of data. Equivalently, a nonzero global unipotent integral satisfying th…
Conjectureopenautomorphic-forms global-integrals representation-theoryarXiv posted 2 days ago
0 votes0 replies0 views
The open-orbit vanishing conjecture for global integrals
Open-orbit vanishing conjecture. Suppose that the integral … is zero unless $w=w_0$ and $\nu=\nu_0$ . Moreover, $w_0$ can be chosen to be a Weyl element corresponding to the longest…
Conjectureopenautomorphic-forms exceptional-groups global-integralsarXiv posted 2 days ago

Vanishing conjecture for Whittaker inner integrals on GLnGL_nGLn​