4 problems

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The locality conjecture for the local L-factor Schwartz space
Locality conjecture. There exists a $G(\sF)\times G(\sF)$ -equivariant sheaf ${\mathbf S}_{\rho}$ of complex vector spaces on $\overline{G}(\sF)$ such that…
Conjectureopencompactifications geometric-representation-theory local-l-factorsarXiv posted 2 days ago
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The direct-sum convolution conjecture for local L-factor Schwartz spaces
Direct-sum convolution conjecture. If
Conjectureopenconvolution local-l-factors representation-theoryarXiv posted 2 days ago
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The local L-factor conjecture for the d4e2-Schwartz space
Main conjecture. The following assertions hold: ${\mathcal{H}}(G(\sF))\subset{d4d2}_{\rho}(G(\sF))$ ; for every matrix coefficient $c(g)$ of an irreducible representation $\pi$ , the…
Conjectureopenlocal-l-factors p-adic-groups representation-theoryarXiv posted 2 days ago
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The newform zeta-integral conjecture for unramified U(2,1)
Newform zeta-integral conjecture. There exists a newform $v$ for $\pi$ such that
Conjectureopenautomorphic-forms local-l-factors unitary-groupsarXiv posted 2 days ago

The locality conjecture for the local L-factor Schwartz space