For more information about this meeting, contact Robert Vaughan.
|Seminar:||Algebra and Number Theory Seminar|
|Speaker:||Kevin Tucker, University of Utah & Princeton University|
|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
|Date:||03 / 03 / 2011|
|Time:||11:15am - 12:05pm|