Pure Math Colloquium

Thomas Lam, University of Michigan

"The mirror theorem for minuscule flag varieties"

I will talk about a mirror theorem for flag varieties, which states the equivalence of two families of differential equations: one coming from quantum cohomology and the other an exponential Gauss-Manin connection associated to a Landau-Ginzburg model. In the case of a minuscule flag variety (for example, a projective space or a Grassmannian), we establish this isomorphism using an instance of the Langlands correspondence, by recognizing the quantum or A-model side as "Galois" and the Landau-Ginzburg or B-model side as "Automorphic". This is joint work with Nicolas Templier.

MC 5501