Title: Filtering Grassmannian cohomology via k-Schur functions
|Speakers:||Huda Ahmed and Yuanning Zhang|
|Affiliation:||New York University and UC Berkeley|
|Zoom:||Contact Karen Yeats|
This talk concerns the cohomology rings of complex Grassmannians. In 2003, Reiner and Tudose conjectured the form of the Hilbert series for certain subalgebras of these cohomology rings. We build on their work in two ways. First, we conjecture two natural bases for these subalgebras that would imply their conjecture using notions from the theory of k-Schur functions. Second we formulate an analogous conjecture for Lagrangian Grassmannians.
Joint work with Michael Feigen, Victor Reiner, and Ajmain Yamin.