Student Commutative Algebra Seminar

For Noetherian local rings with prime characteristic $p>0$, there is a very important numerical invariant, called the $F$-signature. It roughly characterizes the asymptotic growth of the number of free direct summands in the Frobenius push-forward. This invariant was formally defined by C. Huneke and G. Leuschke and was shown existence by K. Tucker. I will introduce this notion and discuss its behavior on a special kind of rings, Hibi rings. Speaker(s): Zhan Jiang (University of Michigan)