Mathematics

 It is a well known fact that, given a finite subgroup G < SL(n,C) (n=2,3) there exists a crepant resolution of the singularity C^n/G which parametrizes "scheme theoretic orbits of the G action".In the seminar I will start by explaining the above sentence and then I will show how G-constellations help to fit the above statement in a more general context.The key words of this seminar are:

1. Group theory
2.  Resolution of singularities & birational transformations
3. Combinatorics
4.  Commutative algebra
5. Stability conditions (following King)
6. Many many examples.