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Crepant resolutions of symplectic quotient singularities as moduli spaces of constellations

Michele Graffeo
Institution: 
SISSA
Schedule: 
Thursday, April 22, 2021 - 16:30
Location: 
Online
Abstract: 

 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.

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