PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Robert Vaughan.

Title:F-Signature Exists
Seminar:Algebra and Number Theory Seminar
Speaker:Kevin Tucker, University of Utah & Princeton University
Abstract:
In positive characteristic, the existence of a splitting of the Frobenius map has strong algebraic and geometric consequences. In this talk, we will construct a local numerical invariant called the F-signature which roughly gives an asymptotic measure of the number of splittings of the iterates of Frobenius. This invariant was first formally defined by C. Huneke and G. Leushcke, and has previously been shown to exist only in special cases. The proof we present is based on certain uniform Hilbert-Kunz estimates of independent interest.

Room Reservation Information

Room Number:MB106
Date:03 / 03 / 2011
Time:11:15am - 12:05pm