Mini-Workshop: Modular Representations of Symmetric Groups and Related Objects

Abstract

The mini-workshop focussed on the modular representation theory of the symmetric group and other closely related objects, including Hecke algebras and Schur algebras. The topics and problems discussed include computations of support varieties, vertices and sources for natural choices of symmetric group modules such as simple modules, Specht modules, and Lie modules, results on Carter–Payne homomorphisms and irreducible Specht modules, connections of symmetric group cohomology with algebraic group cohomology and algebraic topology, and positions of natural symmetric group modules in the Auslander–Reiten quiver.