The Calogero-Moser space 𝒞n is the space of conjugacy classes of pairs of n × n matrices such that the matrix XY - YX + In has rank one. These spaces play important role in geometry, representation theory and integrable systems. A well-known result of Berest and Wilson states that the natural action of the affine Cremona group GA2 on 𝒞n is transitive. In this talk we will give a quiver generalization of this statement and discuss some applications.
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