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Title:
Towards a cluster structure on trigonometric zastava
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Abstract:
This is a joint work with A.Kuznetsov and L.Rybnikov. We study a moduli problem on a nodal curve of arithmetic genus 1, whose solution is an open subscheme in the zastava space for projective line. This moduli space is equipped with a natural Poisson structure, and we compute it in a natural coordinate system. We compare this Poisson structure with the trigonometric Poisson structure on the transversal slices in an affine flag variety.
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