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Moduli of Representations of Quivers with Multiplicities

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If you have a question about this talk, please contact Dhruv Ranganathan .

After reviewing the classical theory of quiver moduli spaces via Mumford’s reductive GIT , I will report on joint work with Victoria Hoskins and Tanguy Vernet which constructs moduli spaces for representations of quivers with multiplicities. Along the way I will indicate the challenges posed by this generalisations, namely the non-reductivity of the groups we need to quotient by, and outline the theoretical developments (joint with Eloise Hamilton and Victoria Hoskins) that make this possible.

This talk is part of the Algebraic Geometry Seminar series.

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