Completes the 'if' direction of the Boyarchenko-Drinfeld conjecture: unipotent groups over F_q-bar have singleton L-packets precisely when every geometric point lies in the neutral component of its centralizer.
Character sheaves and characters of unipotent groups over finite fields
2 Pith papers cite this work. Polarity classification is still indexing.
fields
math.RT 2verdicts
UNVERDICTED 2representative citing papers
Constructs a canonical isomorphism between the group of multiplicative local systems on L^+T and inertial local Langlands parameters for tori over local fields, relating it to the classical correspondence via sheaf-function correspondence.
citing papers explorer
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Unipotent groups with trivial $\mathbb{L}$-packets are easy
Completes the 'if' direction of the Boyarchenko-Drinfeld conjecture: unipotent groups over F_q-bar have singleton L-packets precisely when every geometric point lies in the neutral component of its centralizer.
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Character Sheaves on Tori over Local Fields
Constructs a canonical isomorphism between the group of multiplicative local systems on L^+T and inertial local Langlands parameters for tori over local fields, relating it to the classical correspondence via sheaf-function correspondence.