Parallelotope tilings for symmetric groups

Joseph Chuang

I will describe Will Turner’s conjecture that part of the modular representation theory of the symmetric groups can be constructed from parallelotope tilings. Hyohe Miyachi, Kai Meng Tan and I have proved a numerical version of the conjecture for q-Schur algebras at complex roots of unity.

https://www.msri.org/workshops/820/schedules/23933

MSRI- Representations of Finite and Algebraic Groups