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math.RT2026
On the action of the center in the -adic categorical Langlands program
Konrad Zou
We discuss the action of the center in the categorical local Langlands program in the form of [FS24]. We provide a spectral description of the convolution action of a central torus…
math.RT2025
Categorical local Langlands for for parameters of Langlands-Shahidi type with integral coefficients
Konrad Zou
We prove the categorical form of Fargues' geometrization conjecture for along -parameters of Langlands-Shahidi type for rational, torsion, and integral coefficie…
math.RT2024
The categorical form of Fargues' conjecture for tori
Konrad Zou
We prove the main conjecture of arXiv:2102.13459 for integral coefficients in the case of tori and prove that it is t-exact. Along the way we prove that the spectral action as cons…