The McKay correspondence and GIT

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• Austin Hubbard, University of Bath
• Friday 22 November 2024, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Siao Chi Mok.

The classical McKay correspondence is an observation relating properties of finite subgroups G of SL(C²) to the minimal (crepant) resolutions of the singularities C²/G. From a modern perspective this is obtained from a derived equivalence between the minimal resolution and the orbifold C²/G. We will provide an introduction to the McKay correspondence and GIT . Finally we will discuss an unresolved question recently posed by Abdelgadir-Segal on the existence of a GIT problem which produces all possible crepant partial resolutions (as orbifolds) of C²/G via variation of GIT quotient.

This talk is part of the Junior Geometry Seminar series.

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