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math.NT2025
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. Braver…
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 assumptio…
math.AG2025
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…