collaborators

6 papers

math.RT2026

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

Aaron Slipper

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

math.AG2026

Logarithmic Geometry and Geometric Class Field Theory

Aaron Slipper

We demonstrate an application of logarithmic geometry in the context of geometric Langlands, by providing a logarithmic upgrade of Deligne's geometric class field theory for tamely…

math.RT2026

Quasi-Classical Braverman--Kazhdan Intertwiners via Quiver Varieties

Nikolay Grantcharov, Aaron Slipper

We show that Braverman--Kazhdan normalized intertwiners for have a quasi-classical incarnation governed by type quiver varieties. More precisely, for standar…

math.RT2026

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

Aaron Slipper

Let be a split reductive group over , and let be a standard Levi subgroup of . Let denote the set of parabolic subgroups of with Levi factor . For…

math.NT2026

The -Fourier transform

Jayce R. Getz, Armando Gutiérrez Terradillos, Farid Hosseinijafari +4

Let be a reductive group over a local field and let be a representation of its -group satisfying suitable assumptions. Brav…

math.NT2025

Modulation groups

Jayce R. Getz, Armando Gutiérrez Terradillos, Farid Hosseinijafari +6

Conjectures of Braverman and Kazhdan, Ngô and Sakellaridis have motivated the development of Schwartz spaces for certain spherical varieties. We prove that under suitable assumpti…