Room P3.10, Mathematics Building — Online

Ana Peón-Nieto

Ana Peón-Nieto, U. Birmingham
Higher wobbly bundles

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 $C^\ast$ 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.