-> Introductory examples with easy calculations.
-> How to list the finite subgroups G in SL(2,CC), GL(2,CC), SL(3,CC)
-> Invariants of finite group actions on affine varieties
-> Klein's calculation of invariants
-> Invariants, equations, surface singularities and resolutions in algebraic geometry
-> Representation theory of finite groups
-> G-Hilb and G-Cons and calculations for Abelian groups
-> Moduli problems and correspondences
-> Introduction to DCat and Fourier-Mukai transforms
-> More general theory of DCat and the BKR proof
-> Hilb^n CC^2 and BKR following Haiman
-> Reid's recipe for Abelian groups
-> Theta stability, constellations
-> Other groups: some easy solvable groups, the terminal group 1/r(1,a,r-a) in GL(3,CC), some Abelian subgroups of SL(4,CC) and SL(n,CC)
-> etc.: motivic integration, topology, relations with string theory, Calabi-Yau 3-folds, CY3-algebras.