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Hilbert-Mumford stability on algebraic stacks and applications to $\mathcal{G}$-bundles on curves

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Publication:4611631
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zbMath1410.14011arXiv1609.06058MaRDI QIDQ4611631

Jochen Heinloth

Publication date: 21 January 2019

Full work available at URL: https://arxiv.org/abs/1609.06058

zbMATH Keywords

Hilbert-Mumford stabilitymoduli of G-bundles on curves


Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Fine and coarse moduli spaces (14D22) Stacks and moduli problems (14D23)


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Very stable Higgs bundles, equivariant multiplicity and mirror symmetry, Branes on the singular locus of the Hitchin system via Borel and other parabolic subgroups, Local types of (Γ,G)$(\Gamma ,G)$‐bundles and parahoric group schemes, A Hitchin connection on nonabelian theta functions for parabolic \(G\)-bundles, Existence of moduli spaces for algebraic stacks, Logahoric Higgs torsors for a complex reductive group, On automorphisms of semistable \(G\)-bundles with decorations, The test function conjecture for local models of Weil-restricted groups, The test function conjecture for parahoric local models, A general notion of coherent systems



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