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Hodge-to-singular correspondence for reduced curves

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

We show that the cohomology of moduli spaces of Higgs bundles decomposes in elementary summands depending on the topology of the symplectic singularities on a (fixed!) master object and/or the combinatorics of certain posets and lattice polytopes. This is based on a joint work with Luca Migliorini and Roberto Pagaria.

This talk is part of the Algebraic Geometry Seminar series.

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