Program to prove categorical local Langlands conjecture via compatibility hypothesis for GL_n, induction on Levi subgroups for general groups, plus new spectral finiteness, duality, and admissible ind-coherent sheaf results.
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3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
years
2026 3verdicts
UNVERDICTED 3representative citing papers
Orbital integrals on unitary groups over local fields in positive characteristic converge absolutely.
Proves Kazhdan isomorphism between Hecke algebras of n-fold metaplectic SL2 covers over sufficiently close local fields F and F' with residue char coprime to n and containing nth roots of unity.
citing papers explorer
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The categorical local Langlands conjecture
Program to prove categorical local Langlands conjecture via compatibility hypothesis for GL_n, induction on Levi subgroups for general groups, plus new spectral finiteness, duality, and admissible ind-coherent sheaf results.
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Convergence of orbital integrals on unitary groups in positive characteristic
Orbital integrals on unitary groups over local fields in positive characteristic converge absolutely.
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A Hecke algebra isomorphism over close local fields for metaplectic groups
Proves Kazhdan isomorphism between Hecke algebras of n-fold metaplectic SL2 covers over sufficiently close local fields F and F' with residue char coprime to n and containing nth roots of unity.