Definitions

DRAMATURGY- the craft or the techniques of dramatic composition;The art of the theater, especially the writing of plays; the art of writing and producing plays.
(As defined by http://dictionary.reference.com/browse/Dramaturgy)

DRAMATURG- Works as an advisor/assistant to the director on the background and historical relevance of the play being produced. Also can act as a liaison between director and playwright, and can work on the text of the play (editing & revising scripts). Also advises the theatre management staff on the suitability of plays for the theatre's audience and artistic policy.
(As defined by http://www.theatrecrafts.com/glossary/resultsletter.php)

Dramaturgy is the art of dramatic composition and the representation of the main elements of drama on the stage. Some dramatists combine writing and dramaturgy when creating a drama. Others work with a specialist, called a dramaturge, to adapt a work to the stage.
Dramaturgy can also be defined, more broadly, as shaping a story or like elements into a form that can be acted. Dramaturgy gives the work or the performance a structure. More than actual writing, a dramaturg's work can often be defined as designing.
(As defined by http://en.wikipedia.org/wiki/Dramaturgy)