Aaron Slipper

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math.RT2026

Geometrization of the SchrÃ¶dinger Model for the Minimal Representation of an Even Orthogonal Group: The de Rham Setting

Aaron Slipper

We construct and compare three $D$ -module models for the minimal representation of the conformal group of an even-dimensional quadratic space. Let $V$ be a quadratic space over a f…

math.RT2026

Quasi-Classical Braverman--Kazhdan Intertwiners via Quiver Varieties

Nikolay Grantcharov, Aaron Slipper

We show that Braverman--Kazhdan normalized intertwiners for $S L_{n} (C)$ have a quasi-classical incarnation governed by type $A$ quiver varieties. More precisely, for standar…

math.RT2026

Parabolic Kazhdan-Laumon and the Kloosterman Fourier Transform for Quadric Cones

Aaron Slipper

Let $G$ be a split reductive group over $F_{q}$ , and let $M$ be a standard Levi subgroup of $G$ . Let $P a r_{M} (G)$ denote the set of parabolic subgroups of $G$ with Levi factor $M$ . For…