I'd like some introductory references for deformation theory in algebraic geometry. I'm interested in survey articles too but I primarily want references which give all the definitions and go through the basics carefully and also give some idea of the link between deformation theory and intersection theory and/or K-theory. Texts with examples would be particularly nice. Applications to representation theory would also be useful to me. 


As a specific example, I would like to understand how deformation theory helps in understanding the geometry of the Hilbert scheme of points on a surface (and the geometry of more general moduli spaces like Nakajima quiver varieties, if possible).


My background in geometry is Hartshorne and some material on constructible sheaves and D-modules. I've also come across some deformation theory from the representation theory side.


Thank you for the help.


Edit: I'm also perfectly happy with references that only deal with complex algebraic geometry.



Reference request for an introduction to deformation theory in algebraic geometry
You could try Sernesi's book (deformations of algebraic schemes). 


