Quantum/Affine Schubert Calculus
Month: August 2013
Date: August 5--9
Name: Quantum/Affine Schubert Calculus
Location: University of Oregon, Eugene, Oregon.
The goal of this workshop will be to understand the ring isomorphism (after localization) between the quantum cohomology of the flag variety and the homology ring of the affine Grassmannian. This result was asserted in unpublished notes by Dale Peterson, and later formalized and proven by Thomas Lam and Mark Shimozono. Along the way, we will learn about Schubert calculus, equivariant cohomology, quantum cohomology, the affine Grassmannian, and the Toda lattice, with an emphasis on concrete examples and computations. The workshop will be led by Allen Knutson.