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The McKay correspondence via VGIT

Algebraic Geometry and Number Theory

Speaker: Tarig Abdelgadir
Location: zoom
Start time: Wed, Feb 23 2022, 11:00AM

A Kleinian surface singularity can be `resolved' by a smooth orbifold, and the McKay correspondence famously relates this resolution with the more geometric minimal resolution. In type A it is easy to write down a VGIT problem that interpolates between the orbifold and the minimal resolution, but this has never been done for types D and E. I'll describe some work-in-progress with Ed Segal where we fill this gap using a construction inspired by Tannaka duality.