Back to Commutative Algebra Seminar: Fall 2016
Commutative Algebra Seminar
Date: Friday, Oct 28, 2016
Time: 3:10PM - 4:00PM
Location: LCB 215
Alessandro De Stefani
KTH, Sweden
Title |
Global F-signature |
Abstract |
The F-signature of a local ring is a numerical invariant that was formally introduced by Huneke and Leuschke, and it was shown to always exist by Tucker. Roughly speaking, it provides an asymptotic measurement for the number of splittings of the Frobenius endomorphism on a ring of prime characteristic, which has very subtle connections with the theory of singularities. In this talk, we will show how to define the F-signature for rings which are not necessarily local. We will also discuss how to define the F-signature with respect to a Cartier algebra in this generality, as well as how the resulting invariants still provide a measure of the singularities. This talk is based on joint work with Thomas Polstra and Yongwei Yao. |
Commutative Algebra