Enhanced mirror symmetry for Langlands dual Hitchin systems
From MaRDI portal
Publication:6119700
DOI10.4171/icm2022/164arXiv2112.09455OpenAlexW4389775197MaRDI QIDQ6119700
Publication date: 24 March 2024
Published in: International Congress of Mathematicians (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.09455
Representation theory for linear algebraic groups (20G05) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Mirror symmetry (algebro-geometric aspects) (14J33) Geometric Langlands program (algebro-geometric aspects) (14D24)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Real structures on moduli spaces of Higgs bundles
- Langlands duality for Hitchin systems
- Stable bundles and integrable systems
- Opers with irregular singularity and spectra of the shift of argument subalgebra
- From real affine geometry to complex geometry
- Mirror symmetry for moduli spaces of Higgs bundles via \(p\)-adic integration
- The fundamental lemma for Lie algebras
- Electric-magnetic duality and the geometric Langlands program
- Correspondance de Langlands géométrique pour les corps de fonctions. (Geometric Langlands correspondence for function fields)
- Un analogue global du cône nilpotent. (A global analogue of the nilpotent cone)
- Mirror symmetry, Langlands duality, and the Hitchin system
- Higgs bundles, branes and Langlands duality
- Mirror duality and string-theoretic Hodge numbers
- Mirror symmetry is \(T\)-duality
- Some theorems on actions of algebraic groups
- On very stablity of principal \(G\)-bundles
- Spinors, twistors and classical geometry
- Cohomology of large semiprojective hyperkaehler varieties
- Global topology of the Hitchin system
- Affine Springer Fibers and Affine Deligne-Lusztig Varieties
- Canonical bases for cluster algebras
- Duality between D(X) and with its application to picard sheaves
- Geometric stabilisation via $p$-adic integration
- Two-Dimensional l-Adic Representations of the Fundamental Group of a Curve Over a Finite Field and Automorphic Forms on GL(2)
- An elementary introduction to the Langlands program
- Moduli Space of Semistable Pairs on a Curve
- Endoscopic decompositions and the Hausel–Thaddeus conjecture
- The Self-Duality Equations on a Riemann Surface
- Caracteristiques D'Euler-Poincare, Fonctions Zeta Locales et Modifications Analytiques
- Birational Calabi--Yau n-folds have equal Betti numbers
- Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
- An introduction to affine Grassmannians and the geometric Satake equivalence
- WEIGHT MULTIPLICITY FREE REPRESENTATIONS, ${\frak g}$-ENDOMORPHISM ALGEBRAS, AND DYNKIN POLYNOMIALS
- Spectral curves, algebraically completely integrable Hamiltonian systems, and moduli of bundles
- Homological Algebra of Mirror Symmetry
- Mirror symmetry with branes by equivariant Verlinde formulae
- Higgs Bundles and Characteristic Classes
- Calabi-Yau manifolds in weighted \({\mathbb{P}}_4\)
