ABSTRACT: In its simplest incarnation, the geometric Langlands program was defined by Beilinson and Drinfeld in the 90’s as relating, on one side, a flat connection on a Riemann surface, and on the other side, a more sophisticated structure known as a D-module. A recent generalization of the correspondence, due to Aganagic-Frenkel-Okounkov, establishes an isomorphism between q-deformed versions of conformal … Read More