3 papers
math.RT2026
Haiman's Conjecture and Springer's Representations
Minh-Tâm Quang Trinh
For any connected complex reductive group and element of its Weyl group , we use work of Lusztig and Abreu-Nigro to compute the graded -character of the intersection…
math.RT2025
Level-Rank Dualities for Finite Reductive Groups
Minh-Tâm Quang Trinh, Ting Xue
This is an extended abstract of our work "Level-Rank Dualities from -Cuspidal Pairs..." We present evidence for a family of surprising coincidences within the representation the…
math.RT2023
Level-Rank Dualities from -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…