Special Colloquium

Anne Dranowski, University of Southern California

"Some spaces associated to KLR/W algebras"

We discuss two projects related to the KLR algebra which is a diagrammatic algebra categorifying representations of the quantum group U_q(sl_n). In one project, joint with Guo, Lauda and Manion, we *adapt* a spectral refinement of Khovanov homology to a foamy version thereof, and *extend* it to KLR-mod. In another project, joint with Leroux-Lapierre, we study an equivalence relating KLR-mod and quantizations of slices in the affine Grassmannian using canonical bases and characters. We hope to be as self-contained as possible up to a first course in algebra or topology.

M3 3127