Higher wobbly bundles

Abstract: Wobbly bundles are the complement to very stable bundles, a dense open set of the moduli space of vector bundles. This notion was generalised to arbitrary fixed points of the C* action on the moduli space of Higgs bundles by Hausel and Hitchin. In this talk, after introducing the meaningful notions and motivating them, I will analyse the geometry of higher wobbly components in rank three. In particular, I will focus on an extension of Drinfeld's conjecture about pure codimensionality of the wobbly locus, as well as the relation with real forms. This is joint work with Pauly.

algebraic geometrydifferential geometrysymplectic geometry

Audience: researchers in the topic

Geometria em Lisboa (IST)

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