Graduate Algebraic Geometry Seminar
Sam Shideler
UIC
Hilbert-Kunz Multiplicity and the F-Signature
Abstract: I will discuss two characteristic $p$ invariants of a ring $R$ - the Hilbert-Kunz multiplicity $e_{HK}(R)$ and the F-signature $s(R)$. Both are invariants defined using Frobenius that give information about the singularities of $R$.
I will prove basic facts about these invariants, discuss their computations, and give a broad overview of known results and further questions.
The talk will primarily follow the survey article by Huneke with the same title.
Wednesday September 9, 2015 at 3:00 PM in SEO 712