The ρ-Fourier transform
Armando Gutierrez Terradillos
Aarhus University
https://sites.google.com/view/armando-gutierrez-terradillos/home
Date(s) : 03/03/2026 iCal
14h00 - 15h00
Let G be a reductive group over a local field F and let ρ be a representation of its L-group satisfying suitable assumptions. Braverman, Kazhdan and Ngô conjectured that one has a Schwartz space S_ρ(G(F)) of functions on G(F) that admits a Fourier transform and satisfies certain desiderata. In this talk we explain a large portion of this conjecture. More precisely, we construct these Schwartz spaces over non-Archimedean local fields and construct an approximation to them over Archimedean fields. Our methods are spectral in nature. This is joint work with J. Getz, F. Hosseinijafari, A. Slipper, G. Xi, H. Yao, and A. Zhao.
Emplacement
I2M Luminy - TPR2, Salle de Séminaire 304-306 (3ème étage)
Catégories
