SPEAKER: Jonathan Brundan
TITLE: Symmetric functions, parabolic category O and the Springer fiber
ABSTRACT We prove that the center of a regular block of parabolic category O for the Lie algebra gl_n(C) is isomorphic to the cohomology algebra of a corresponding Springer fiber. This was conjectured by Khovanov. We also find presentations for the centers of singular blocks. Our approach is based on a new construction making the direct sum of the centers of all integral blocks of O into a polynomial representation of gl_\infty(C), namely, the n-th tensor power of its natural module.