Algebraic Combinatorics Seminar - Huda Ahmed and Yuanning Zhang

Thursday, November 5, 2020 1:00 pm - 1:00 pm EST (GMT -05:00)

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.