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Quasi-Classical Braverman--Kazhdan Intertwiners via Quiver Varieties

math.RT · 2026-06-12 · unverdicted · novelty 6.0

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.

On Ramanujan Primes for Hecke-Maass Cusp Forms

math.NT · 2026-05-10 · unverdicted · novelty 5.0

Upper bounds on the least prime satisfying the Ramanujan conjecture simultaneously for two or three Hecke-Maass forms, and lower bounds on the natural density of primes satisfying it for at least one form in a given set.

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  • Quasi-Classical Braverman--Kazhdan Intertwiners via Quiver Varieties math.RT · 2026-06-12 · unverdicted · none · ref 227

    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.

  • On Ramanujan Primes for Hecke-Maass Cusp Forms math.NT · 2026-05-10 · unverdicted · none · ref 15

    Upper bounds on the least prime satisfying the Ramanujan conjecture simultaneously for two or three Hecke-Maass forms, and lower bounds on the natural density of primes satisfying it for at least one form in a given set.