About the McKay correspondence in 3 dimensions

Abstract: Abstract: I will review work on the McKay correspondence in 3 dimensions and its differential-geometric version, relying on papers by Ito-Reid, Sardo Infirri, Craw-Ishi and others, and on some original results obtained with a group of collaborators. This is about the resolution of singularities of the type C^3/G, where G is a finite subgroup of GL(3,C) or SL(3,C). I will also discuss the chamber structure for the stability parameter of the GIT quotient. I will illustrate the general theory by means of a nontrivial but manageable example (C^3/Z_4 with Z_4 acting as a subrgoup of SL(3,C)). I will also hint at some physical motivations.

algebraic geometry

Audience: researchers in the topic

Comments: Link for the Zoom meeting: us02web.zoom.us/j/84979113106?pwd=ZTc5c0N4WCtVdmdqbHNiMzhiQU82QT09

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Brazilian algebraic geometry seminar

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