Title: Filtering Grassmannian cohomology via k-Schur functionsSpeakers: 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.
Title: Packings of partial difference setsSpeaker: Jonathan Jedwab Affiliation: Simon Fraser University Zoom: Contact Karen Yeats
Partial difference sets are highly structured group subsets that occur in various guises throughout design theory, finite geometry, coding theory, and graph theory. They admit only two possible nontrivial character sums and so are often studied using character theory.