For a Kleinian singularity, the McKay correspondence famously relates the orbifold cover of the singularity to a crepant resolution. In type A, both are toric and it is easy to write down a GIT problem which produces both the orbifold and the geometric resolution as possible quotients. However, no such construction seems to be known for types D and E. I'll describe some work-in-progress with Ed Segal where we aim to fill this gap using a construction inspired by Tannaka duality.
The McKay correspondence via VGIT
27.06.2023 13:15 - 14:45
Organiser:
H. Grobner, A. Mellit
Location: