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.
Title resolution pending
4 Pith papers cite this work. Polarity classification is still indexing.
4
Pith papers citing it
years
2026 4verdicts
UNVERDICTED 4representative citing papers
Orbital integrals on unitary groups over local fields in positive characteristic converge absolutely.
Constructs equivariant isomorphisms Φ(P,P') between affinized cotangent bundles of Braverman-Kazhdan spaces for conjugate parabolics in SL_n, satisfying Coxeter relations via SL-gauge reflection functors on type A quiver varieties.
Formulates a conjectural classification of H_{1,n-1}-distinguished irreducible smooth representations of GL_n(D) for n>2 and proves it for n=3 and n=4.
citing papers explorer
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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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Quasi-Classical Braverman--Kazhdan Intertwiners via Quiver Varieties
Constructs equivariant isomorphisms Φ(P,P') between affinized cotangent bundles of Braverman-Kazhdan spaces for conjugate parabolics in SL_n, satisfying Coxeter relations via SL-gauge reflection functors on type A quiver varieties.
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On representations of GL(n) distinguished by GL(1)*GL(n-1) over a quaternion division algebra
Formulates a conjectural classification of H_{1,n-1}-distinguished irreducible smooth representations of GL_n(D) for n>2 and proves it for n=3 and n=4.