Parabolic hitchin system and mirror symmetry

Author: moif

August undefined, 2024

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 ... WebParabolic Hitchin Systems and Topological Mirror Symmetry . by . Dr. Bin WANG . Steklov …

On integrable Systems and 3D Mirror Symmetry - Harvard …

WebFeb 21, 2024 · We study the mirror symmetry on the singular locus of the Hitchin system at two levels. First, by covering it by (supports of) (BBB)-branes, corresponding to Higgs bundles reducing their structure group to the Levi subgroup of some parabolic subgroup P, whose conjectural dual (BAA)-branes we describe. 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 ... honda rebel 500 road trip

Mirror symmetry, Langlands duality, and the Hitchin system

WebJun 6, 2024 · Topological Mirror Symmetry of Parabolic Hitchin Systems. A BSTRACT . In … WebMay 23, 2002 · Among the major mathematical approaches to mirror symmetry are those of Batyrev-Borisov and Strominger-Yau-Zaslow (SYZ). The first is explicit and amenable to computation but is not clearly related to the physical motivation; the second is the opposite. honda rebel 500 price philippines 2022

Topological Mirror Symmetry of Parabolic Hitchin …

WebAug 15, 2001 · In the announcement [20] Hausel and Thaddeus also consider the parabolic case, and outline a proof that SYZ mirror symmetry holds for any n. Biswas-Dey [8] later proved this in the case when... WebMay 23, 2002 · The moduli space of the parabolic PGL r -Higgs bundles is non-compact … honda rebel 500 led headlightWebAlexander Beilinson, Vladimir Drinfeld, section 5.2.7 of Quantization of the Hitchin system and Hecke eigensheaves, based on. Gérard Laumon, ... Geometric Endoscopy and Mirror Symmetry (arXiv:0710.5939) Edward Witten, Mirror Symmetry, Hitchin’s Equations, ... Parabolic Whittaker Functions and Topological Field Theories I (arXiv:1002.2622) honda rebel 500 price in india

"WebAug 21, 2024 · Closed 3 years ago. I was thinking about parallel rays hitting a mirror that … " - Parabolic hitchin system and mirror symmetry

Parabolic hitchin system and mirror symmetry

Homological Mirror Symmetry and Topological Recursion, …

WebJun 6, 2024 · We use the correspondence and the p-adic integration methods developed … 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.

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WebMay 30, 2024 · Topological Mirror Symmetry of Parabolic Hitchin Systems Xiaoyu Su, Bin Wang, Xueqing Wen Mathematics 2024 A BSTRACT . In this paper, we ﬁrst prove the parabolic Beauvile-Narasimhan-Ramanan correspondence over an arbitrary ﬁeld which generalizes the corresponding results over algebraically closed ﬁelds in… PDF References WebRecollection on Higgs bundles Langlands duality and mirror symmetry An integral mirror …

WebIntro Hitchin’s system Physics background Nilpos Singular curves Degenerations Main results Singularities Questions Higgs bundles and integrable systems The Hitchin system is a global version of the quotient map g !t=W, where t is the Cartan of the Lie algebra g of the group G, and W is the Weyl group. When G = GL(N), this map sends a matrix ... 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 … Web3:30-4:30 A. Polishchuk: Homological mirror symmetry for higher dimensional pairs of pants 5:00-6:00 R. Bezrukavnikov: A local version of HMS for parabolic Hitchin space Wednesday January 29 9:30-10:30 D. Auroux: Mirrors of curves and their Fukaya categories III 11:00-12:00 B. Gammage: Mirror symmetry near large volume limit 2:00-3:00

WebJun 6, 2024 · We use the correspondence and the p-adic integration methods developed by Groechenig- Wyss-Ziegler [GWZ20b] to prove the topological mirror symmetry for parabolic Hitchin systems on curves with arbitrary parabolic structures. Submission history From: Bin Wang [ view email ] [v1] Mon, 6 Jun 2024 12:06:54 UTC (33 KB) Download: PDF PostScript

WebRecollection on Higgs bundles Langlands duality and mirror symmetry An integral mirror symmetry relation for Higgs bundles The proof 1 Recollection on Higgs bundles 2 Langlands duality and mirror symmetry 3 An integral mirror symmetry relation for Higgs bundles 4 The proof Michael Groechenig (joint work with Shiyu Shen) Complex K-theory of dual Hitchin … honda rebel 500 philippinesWebAs seen in the preceding Designer Note, a parabolic mirror is free of spherical aberration … honda rebel 500 rear lightWebApr 10, 2003 · Among the major mathematical approaches to mirror symmetry are those … honda rebel 500 seat heightWebApr 10, 2024 · The eigenvalues are given by the opers associated to the canonical surface defect. We derive, in our $\mathcal {N}=2$ gauge theoretical framework, that the twisted $\mathcal {D}$-modules assigned ... honda rebel 500 top speed mphWebIn Section 3 we recall the SYZ mirror symmetry result for the parabolic Hitchin system, review the stringy E -polynomials, describe the topological mirror symmetry conjecture of Hausel–Thaddeus, and state and prove our result. honda rebel 500 road testWebAug 15, 2001 · Our examples arise as moduli spaces of local systems on a curve with … honda rebel 500 vance and hinesWeb1 day ago · We are interested in studying the variation of the Hitchin fibration in moduli spaces of parabolic Higgs bundles, under the action of a ramified covering. ... Mirror symmetry, Langlands duality, and the Hitchin system, Invent. Math., 153, (2003), 197-229. ... Hitchin systems for invariant and anti-invariant vector bundles, Trans. Amer. Math ... honda rebel 500 rear stand