Local ground fields in algebraic geometry, Research exposition (monographs, survey articles) pertaining to algebraic geometry, Research exposition (monographs, survey articles) pertaining to number theory, bibliography, Automorphic forms, one variable, Special values of automorphic \(L\)-series, periods of automorphic forms, cohomology, modular symbols, modular forms, Representations of Lie and linear algebraic groups over global fields and adèle rings, automorphic forms, Representations of Lie and linear algebraic groups over local fields, Langlands-Weil conjectures, nonabelian class field theory, \(p\)-adic theory, local fields, Representation-theoretic methods; automorphic representations over local and global fields, Artin conjecture, survey article, L- functions, Theta series; Weil representation; theta correspondences, Holomorphic modular forms of integral weight, representation theory of groups, lifting, Global ground fields in algebraic geometry