TITLE: Geometric invariant theory for geometers
QUESTION [15 upvotes]: I am trying to learn "Geometric invariant theory" like it was introduced by Mumford. But I do not have a strong background in algebraic geometry since I work in geometric topology and geometry. 
So my question is if there is any nice reference where people explain geometric invariant theory from a geometric viewpoint. In particular, I am looking for a good reference where the analogies between algebraic geometry and differential geometry are pointed out.

REPLY [2 votes]: Read the survey in my article and go over the references therein. It is written with exactly similar intentions you have asked for.
Kalafat, Mustafa, Geometric invariant theory and Einstein-Weyl geometry, Expo. Math. 29, No. 2, 220-230 (2011); addendum ibid. 37, No. 1, 92-95 (2019). ZBL1250.14034, MR2787619.