Quantum Langlands Correspondence

Abstract

These are informal notes written in 2007 that outline the local and global quantum Langlands program. (I decided to make them public in view of the revived interest in the subject.)

Cited by in corpus (14)

• W-algebras as coset vertex algebras
• Trialities of $\mathcal{W}$-algebras
• Loop group actions on categories and Whittaker invariants
• Rationality and Fusion Rules of Exceptional W-Algebras
• Symmetries of categorical representations and the quantum Ngô action
• Parameters and duality for the metaplectic geometric Langlands theory
• Rationality of the exceptional W-algebras ${\mathcal{W}}_k({\mathfrak{sp}}_4,f_{subreg})$ associated with subregular nilpotent elements of ${\mathfrak{sp}}_4$
• W-algebras and Whittaker categories
• Affine Beilinson-Bernstein localization at the critical level for $G{L}_2$
• Localization for affine $W$-algebras
• Quantum Analytic Langlands Correspondence
• Tame twistings and $\Theta$-data
• Vertex Algebras and Commutative Algebras
• Affine Harish-Chandra bimodules and Steinberg--Whittaker localization