WebJun 6, 2024 · We use the correspondence and the p-adic integration methods developed … WebWe prove the topological mirror symmetry conjecture of Hausel–Thaddeus [ 20, 21] for …

Examples of mirror partners arising from integrable systems

WebIn the first two lectures we will discuss the mirror symmetry proposal of [Hausel–Thaddeus 2003]: ”Hitchin systems for Langlands dual groups satisfy Strominger-Yau-Zaslow, so could be considered mirror symmetric; in particular they should satisfy the topological mirror tests:” Conjecture (Hausel–Thaddeus 2003, ”Topological mirror ... WebChern classes from the elliptic locus to the total Hitchin base, we prove a support theorem parallel to [2] for certain parabolic Hitchin moduli spaces. This is completed in Section 4. The idea of combining vanishing cycle functors and support theorems was also applied in [23] to give a proof of the topological mirror symmetry conjecture of ... tee shirt soleil lune

Title and Abstract ICTS

WebTheorem (Hitchin, Simpson) The Hitchin maps h SLn;h PGLn are proper and their generic bers are complex Lagrangian torsors for abelian varieties P SLn and P PGLn respectively. Furthermore P SLn and P PGLn are dual abelian varieties. If it weren’t for the torsor structure , Md SLn and Md PGLn would be mirror partners in the sense of Strominger ... WebThis result is significant as it establishes the existence of explicit sub-integrable systems within parabolic Hitchin systems defined using only representation-theoretic data and not the complex structure on a Riemann surface. Finally, in section 6 we anticipate two dualities involving hyperpolygons: mirror symmetry and a tame-wild duality. WebAug 15, 2001 · The special Lagrangian tori come from an algebraically completely integrable Hamiltonian system: the Hitchin system. Résumé Nous présentons dans cette Note des paires de V-variétés hyperkählériennes satisfaisant deux formulations différentes de la symétrie miroir. tee shirts nike homme