I will talk about a mirror theorem for minuscule flag varieties. The mirror theorem asserts that two systems of differential equations coincide: one arising from quantum cohomology, and the other from a Landau-Ginzburg model. The idea of the proof is to recognize the former as a Galois object and the latter as an automorphic object, and apply the (ramified) geometric Langlands correspondence. Some surprising connections to Kloosterman sums and sheaves will appear. This is joint work with Nicolas Templier.
Speaker(s): Thomas Lam (UM)