Title:Descents for Border Strip Tableaux
| Speaker | Stephan Pfannerer-Mittas |
| Affiliation | University of Waterloo |
| Location | MC 5479 |
Abstract: Lusztig's fake degree is the generating polynomial for the major index of standard Young tableaux of a given shape. Results of Springer and James & Kerber imply that, mysteriously, its evaluation at a d-th primitive root of unity yields the number of border strip tableaux with all strips of size d, up to sign. This is essentially the special case of the Murnaghan-Nakayama rule for rectangular partitions as cycle type. We refine this result to standard Young tableaux and border strip tableaux with a given number of descents. To do so, we introduce a new descent statistic for border strip tableaux, extending the classical definition for standard Young tableaux.
There will be a pre-seminar presenting relevant background at the beginning graduate level starting at 1pm,