Tensor products of quiver bundles

Dec 10, 2025, 11:40 AM
30m
Department of Mathematics (Aula Magna)

Department of Mathematics

Aula Magna

University of Pisa, Italy

Speaker

Juan Sebastian Numpaque Roa (Universidade do Porto)

Description

In this work we introduce a notion of tensor product of (twisted) quiver representations with relations in the category of $\mathcal{O}_X$-modules. As a first application of our notion, we see that tensor products of polystable quiver bundles are polystable and later we use this to both deduce a quiver version of the Segre embedding and to identify distinguished closed subschemes of $\mathsf{GL}(n,\mathbb{C})$-character varieties of free abelian groups.

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