Tame parahoric nonabelian Hodge correspondence in positive characteristic over algebraic curves

DOI10.1007/S00029-024-00954-2zbMATH Open1548.14042MaRDI QIDQ6565770

Mao Li, Hao Sun

Publication date: 2 July 2024

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

zbMATH Keywords

nonabelian Hodge correspondenceparahoric group schemelogahoric connectionslogahoric Higgs torsors

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Algebraic moduli problems, moduli of vector bundles (14D20) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Group schemes (14L15)

Cites Work

• Title not available (Why is that?)
• Riemann-Hilbert for tame complex parahoric connections
• Global Springer theory
• Parabolic Higgs bundles and representations of the fundamental group of a punctured surface into a real group
• Non-abelian Hodge theory for algebraic curves in characteristic \(p\)
• Nonabelian Hodge theory in characteristic \(p\)
• Tame stacks in positive characteristic
• Twisted loop groups and their affine flag varieties. With an appendix by T. Haines and M. Rapoport.
• Higgs bundles and local systems
• Parabolic bundles, products of conjugacy classes, and Gromov-Witten invariants.
• The gerbe of Higgs bundles.
• Connections on parahoric torsors over curves
• Torsors over the punctured affine line
• Moduli of parahoric 𝒢-torsors on a compact Riemann surface
• Harmonic Bundles on Noncompact Curves
• Moduli problem of Hitchin pairs over Deligne-Mumford stacks
• Geometric Langlands in prime characteristic
• Logahoric Higgs torsors for a complex reductive group
• Meromorphic parahoric Higgs torsors and filtered Stokes G-local systems on curves

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