Michael Wheeler (CU) Hyperprincipal Realizations of Ultrafilters, Part 2
Oct. 08, 2019 2pm (MATH 350)
Lie Theory
Lucas Gagnon (CU)
X
Classifying all conjugacy classes and/or irreducible representations in the family of unipotent upper triangular matrices is a wild problem, meaning that it is an essentially hopeless endeavor. In this talk, I will take up the superficially similar question of normal subgroups in and answer it with a bijection between normal subgroups and vector spaces over which are parametrized by a family of Catalan-like combinatorial objects. Following this construction, I will show how supercharacter theory can turn our newfound understanding of the normal subgroup structure of into a deeper representation theoretic understanding of this family of groups.
Finding all normal subgroups of the unipotent upper triangular groups
Oct. 08, 2019 4pm (MATH 350)
Topology
Andrew Stocker (CU) Complex Bordism, MU and Complex Orientations
Finding all normal subgroups of the unipotent upper triangular groups