Pure Math Grad Student Seminar (PuMaGraSS)
Friday, October 19, 2018 at 12:00pm to 1:00pm
Speaker: Chris Ryba
Title: Wild Representation Type (and how to deal with it)
Abstract: When a representation theorist encounters a new algebra, their Pavlovian response is to ask about the module category of the algebra. Perhaps the most obvious question is to ask for a classification of indecomposable modules: this pins down what objects in the category can look like. We will discuss the concept of wild representation type, which can be vaguely thought of as an analogoue of NP-hardness for module categories. This explains why it's often unreasonable to hope for a classification of indecomposable modules. However, we'll also discuss ways in which we can work around this limitation.