====== Victor Reiner (Minnesota) ====== ====== Finite General Linear Groups and Symmetric Groups ====== ===== Abstract for the Combinatorics and Algebra Seminars 2018 March 13 ===== In recent years we have seen surprising counting phenomena related to the symmetric group, with striking analogues for general linear groups over finite fields. Often the explanations come from invariant theory. I will give examples and pose some intriguing conjectures that come from pursuing the analogy further. ----