Mirror symmetry for moduli spaces of Higgs bundles via \(p\)-adic integration

DOI10.1007/s00222-020-00957-8zbMath1451.14123arXiv1707.06417OpenAlexW3014404500WikidataQ118137096 ScholiaQ118137096MaRDI QIDQ785931

Paul Ziegler, Michael Groechenig, Dimitri Wyss

Publication date: 12 August 2020

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.06417

zbMATH Keywords

\(p\)-adic integrationHiggs bundles\(p\)-adic Hodge theory.topological mirror symmetry

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Vector bundles on curves and their moduli (14H60) Mirror symmetry (algebro-geometric aspects) (14J33)

Related Items

Number of irreducible \(\ell\)-adic local systems on a curve ⋮ Intersection cohomology of character varieties for punctured Riemann surfaces ⋮ On parahoric Hitchin systems over curves ⋮ On the intersection cohomology of the moduli of SLn$\mathrm{SL}_n$‐Higgs bundles on a curve ⋮ Open problems in the wild McKay correspondence and related fields ⋮ Enhanced mirror symmetry for Langlands dual Hitchin systems ⋮ Mirror symmetry for parabolic Higgs bundles via \(p\)-adic integration ⋮ Cohomological \(\chi\)-independence for moduli of one-dimensional sheaves and moduli of Higgs bundles ⋮ Complex analysis -- differential and algebraic methods in Kähler spaces. Abstracts from the workshop held April 9--14, 2023 ⋮ Unramified covers and branes on the Hitchin system ⋮ Serre polynomials of \(\mathrm{SL}_n\)- and \(\mathrm{PGL}_n\)-character varieties of free groups ⋮ Higgs bundles, branes and Langlands duality ⋮ Geometric stabilisation via $p$-adic integration ⋮ Aspects of the topology and combinatorics of Higgs bundle moduli spaces ⋮ Endoscopic decompositions and the Hausel–Thaddeus conjecture ⋮ Topological mirror symmetry for rank two character varieties of surface groups ⋮ On the \(P = W\) conjecture for \(\mathrm{SL}_n\) ⋮ Degeneration of natural Lagrangians and Prymian integrable systems

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