McKay correspondence and moduli of G-constellations

Ryo Yamagishi (National Center for Theoretical Sciences)

Wednesday 1st February, 2023 16:00-17:00 Maths 311B

Abstract

McKay correspondence is roughly explained as a correspondence between the representation theory for a finite group G and the geometry of a resolution of a quotient singularity by G. One natural way to see this correspondence is to consider a moduli space of G-constellations, which is a generalized notion of the G-Hilbert scheme. In this talk I will give an overview of this theory and explain my recent results about it.

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