  The purpose of this paper is to survey some of the important results on
Langlands program, global fields, $D$-shtukas and finite shtukas which have
influenced the development of algebra and number theory. It is intended to be
selective rather than exhaustive, as befits the occasion of the 80-th birthday
of Yakovlev, 75-th birthday of Vostokov and 75-th birthday of Lurie. Under
assumptions on ground fields results on Langlands program have been proved and
discussed by Langlands, Jacquet, Shafarevich, Parshin, Drinfeld, Lafforgue and
others. In this review article, we first present results on Langlands program
and related representation over algebraic number fields. Then we briefly
present approaches by U. Hartl, his colleagues and students to the study of $ D
$ --shtukas and finite shtukas. These approaches and our discussion relate to
the Langlands program as well as to the internal development of the theory of $
G $-shtukas.
