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Showing 1 to 4 of 4 for “"Hitchin fibration"”.
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Multiplicative Global Springer Theory
The moduli of Higgs bundles and the Hitchin fibration are central to many thriving research areas, such as mirror symmetry, non-abelian Hodge theory and the geometric Langlands program. They are also useful for globalizing representation-theoretic phenomena such as Springer theory and the study of …
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Quantum geometric Langlands correspondence in positive characteristic: the GLN case
… version of Fourier-Mukai transform on the Hitchin fibration. However, there are some new ingredients. Along the way we introduce a generalization of p-curvature for line bundles with non-flat connections, and construct a Liouville vector field on the space of de Rham local systems on C.
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Langlands Duality in the Generic Fibres of Classical Hitchin Fibrations
… Riemann surface. In particular, we generalise Hitchin's computation of the generic bres of the Hitchin bration to the more general L-twisted case, which presents new challenges since we lose properties intrinsic to the canonical bundle. However, we impose a basepoint-free condition on L to use …
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Geometry of the Hitchin Morphism and Spectral Correspondences
… of Ritt. We move to examining the image of Hitchin morphism on algebraic varieties in general. In our context we work with rank 2 bundles on algebraic surfaces. Unlike the case of curves, Hitchin morphism on the space of twisted Higgs sheaves is not necessarily surjective though we study its …