In this talk, I will talk about FI-modules, meaning functors from the category of finite sets and injections into the category of vector spaces over a given field. I will explain my recent work describing a bijective correspondence between simple representations of finite symmetric groups and simple objects in the category of FI-modules in positive characteristic. In particular, I will show examples of simple generic FI-modules none of whose terms are simple symmetric group representations.
Speaker(s): Sophie Kriz (UM)