March 25, 5:30-7:30, Math 507

Ivan Danilenko

Quantum Differential Equations for slices of the Affine Grassmannian

Gromov-Witten invariants allow one to define a flat connection called Quantum Differential Equation (QDE). In this talk, I will identify QDE for slices of the Affine Grassmannian in simply-laced types with trigonometric Knizhnik-Zamolodchikov equation. Time permitting, I will discuss what happens in non-simply-laced types.