BIRS Workshop Lecture Videos
A quantum Simpson correspondence Le Stum, Bernard
A Simpson correspondence establishes an equivalence between a category of modules equipped with a connexion and a category of Higgs bundles. In a joint work with Michel Gros and Adolfo Quirós, we describe such an equivalence in the case of modules equipped with a q-connexion when q is a p-th root of unity. This is modeled on the characteristic p case and relies on the notion of quantum divided powers that we also discuss.
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