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Thursday, November 26, 2026 - 16:30 in V2-210/216


Moduli spaces for quivers with multiplicities

A talk in the Mathematisches Kolloquium series by
Victoria Hoskins from Universität Duisburg-Essen

Abstract: There is a long and rich history relating the representation theory of a quiver and an associated symmetric Kac-Moody algebra, whose representations can often be realised geometrically by taking the cohomology of associated quiver moduli spaces. Representations of a quiver with multiplicities are representations of a quiver over truncated polynomial rings, and are connected to the larger class of symmetrisable Kac-Moody algebras. Constructing moduli spaces for a quiver with multiplicities is more challenging, as the problem is described via a non-reductive group action. This talk will present some recent progress on constructing such moduli spaces; this is based on joint work with E. Hamilton, J. Jackson and T. Vernet.



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