Quantum Langlands duality and mirror symmetry

Igor Yu. Potemine (1)

1 LEP - Laboratoire Émile Picard

We show that (quantum) D-modules of Givental type on affine flag varieties are transformed to D-modules of Beilinson-Drinfeld type on $n$-reduced Sato Grassmannians via affine Miura transformation.

Domaines: Géométrie algébrique [math.AG]; Physique mathématique [math-ph]

Igor Yu. Potemine. Quantum Langlands duality and mirror symmetry. 2001. ⟨hal-00134667⟩