Level-Rank Dualities from $\Phi$-Cuspidal Pairs and Affine Springer Fibers

Minh-Tâm Quang Trinh, Ting Xue

We propose a generalization of the level-rank dualities arising from Uglov's work on higher-level Fock spaces. The statements use Hecke algebras defined by Broué-Malle, which conje…