Commutative Algebra and its Interactions A conference in honor of Mel Hochster July 31 - August 5, 2008 Abstract Detail   Title: Estimating lower bounds for Hilbert-Kunz multiplicities Let (R;m) be an excellent local ring of dimension d. If R has no components of dimension less than d, then R is regular if and only if the Hilbert-Kunz multiplicity is equal to 1. Actually computing Hilbert-Kunz multiplicities is quite di cult, but in joint work with Florian Enescu, we have shown that there is a lower bound (strictly greater than 1) for the Hilbert-Kunz multiplicity of such a non-regular ring. This talk, which will coordinate with the earlier talk by Enescu, will elaborate on some of the methods for making these estimates. Ian Aberbach University of Missouri Email:  aberbach@math.missouri.edu Phone: 573-882-7682   BACK to Speaker Listing BACK to Conference Home