Skip to main content

Win-Win Statistics Professor Arne Bathke Interviewed about Benefits of Data Analysis

Title: Win-Win: Statistics Professor Arne Bathke Interviewed about Benefits of Data Analysis
Contact: Cheyenne Hohman

Page Content:

UK Statistics Professor Arne Bathke was interviewed on WUKY about current research and projects coming out of the UK Statistics department. Bathke has long understood the importance of interdisciplinary work, and UK Statistics was recently ranked 16th of the nation's private and public universities.

Listen to the interview below.

 

Asymptotic behavior of socle under Frobenius iterations

Let (R,m) be a standard-graded local algebra over a field of positive characteristic p. Suppose I is a m-primary ideal of R. We study how the top socle degree and the socle length of R/J behave asymptotically, where J is a (varying) Frobenius power of I. We will also discuss their relations with Hilbert-Kunz multiplicity/function and asymptotic behaviors (with respect to Frobenius iteration) of some other homological invariants.

Date:
-
Subscribe to