Nantel Bergeron,
Persi Diaconis,
Jean-Yves Thibon,
and Nathaniel Thiem

Original Announcement

This workshop will bring together experts in the emerging area of supercharacter theory and experts in Hopf algebras. Super characters/classes are certain unions of irreducible characters/conjugacy classes which fit together to give a rich, new combinatorial structure that allows analysis for previously intractable problems such as the the group of upper triangular matrices with coefficients in a finite field Hopf algebras have given a useful framework for studying the representation theory of towers of algebras, following the classical relationship between the representation theory of the symmetric group and the ring of symmetric functions. Recent work has suggested that similar noncommutative Hopf algebraic structures might exist for super-representation theories. In particular, this workshop will investigate the case of finite groups of unipotent upper-triangular matrices.