In this talk, I will give an overview of work in progress involving the invariant theory of clannish algebras. I will begin with a brief introduction to quiver invariant theory before defining and providing examples of clannish algebras. Next, I will reformulate Serre's criterion for normality in terms of module varieties and complete intersections to make understanding moduli spaces easier. To demonstrate the utility of this interpretation of normality, I will prove the normality of module varieties corresponding to a relevant class of clannish algebras.
If you need the passcode, please contact Frauke Bleher or Ryan Kinser.