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.
and Shalika, Joseph A
3 Pith papers cite this work. Polarity classification is still indexing.
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Proves unconditional effective joint Sato-Tate distribution for coefficients of two twist-inequivalent non-CM newforms, generalizing to measurable subsets with finite-length curve boundaries and yielding sign-change results for symmetric powers.
A survey paper presents the Geometric Langlands correspondence informally as an algebraic spectral theorem for automorphic sheaves and a blueprint for studying nonabelian symmetry.
citing papers explorer
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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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Effective Joint Sato-Tate Distribution and Sign Change of Symmetric Power Coefficients
Proves unconditional effective joint Sato-Tate distribution for coefficients of two twist-inequivalent non-CM newforms, generalizing to measurable subsets with finite-length curve boundaries and yielding sign-change results for symmetric powers.
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What is the Geometric Langlands Correspondence about?
A survey paper presents the Geometric Langlands correspondence informally as an algebraic spectral theorem for automorphic sheaves and a blueprint for studying nonabelian symmetry.