PUBLIC VIVA-VOCE NOTIFICATION
3:30 pm, Seminar Hall
Higgs Bundles on Elliptic Surfaces
Rohith Varma

10-03-16

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Abstract

Let \pi : X -> C be a relatively minimal non-isotrivial elliptic surface over the field of complex numbers, where g(C) >= 2. We demonstrate an equivalence between the category of semistable parabolic Higgs bundles on C, and the category of semistable Higgs bundles on X with vanishing second Chern class, and determinant a vertical divisor.