The Hitchin map and the spectral baseSpeakerJie Liu 刘杰中国科学院数学研究所TimeTues., 14:00-16:00, Oct.8, 2024Mon., 10:00-12:00, Oct.14, 2024VenueC658, Shuangqing Complex Building AAbstractWe review the recent progress on Chen-Ngo's conjecture on the image of Hitchin map of moduli stack of Higgs bundles over higher dimensional projective manifolds. During the lectures, the following topics wil...
AbstractLet X be a projective manifold. The Hitchin morphism is a map from the moduli stack of Higgsbundles over X to the Hitchin base, which sends a Higgs bundle to its characteristic polynomial. lfX is a curve, it is well-known that the Hitchin morphism is surjective and it plays an important rolein the study of the moduli space of Higgs bundles. However, if X has dimension at least two, theH...