  We extend the Langlands program in various subprograms with certain different
generalizations: (1) Mixed-parity functorial perturbation of the usual
Langlands program after Fargues-Scholze in all characteristics; (2)
Robba-Frobenius sheafified functorial perturbation of the usual Langlands
program after Fargues-Scholze and Kedlaya-Liu in all characteristics; (3)
Arithmetic $D$-module theoretic functorial perturbation of the usual Langlands
program after Fargues-Scholze and Abe-Kedlaya-Xu. In certain localized setting
we construct Langlands correspondence from smooth representation side to Weil
side through geometrized generalized Bernstein center.
