MATH Seminar

Title: Log canonical and F-pure thresholds and ordinary reduction
Seminar: Algebra
Speaker: Lance Edward Miller of University of Arkansas
Contact: David Zureick-Brown, dzb@mathcs.emory.edu
Date: 2014-05-06 at 4:00PM
Venue: W306
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Abstract: The F-pure threshold of a variety in characteristic p > 0 is a rational number which measure of its singularities near the origin. It is intimately connected to birrational invariants of complex varieties such as the log canonical threshold through reduction mod p. The agreement of these two invariants is also deeply connected to ordinary (in the sense of Bloch-Kato) reduction as can already been seen clearly in the case of elliptic curves. This talk introduces these thresholds and their connections and explores a special cases where agreement can be shown purely in using algebraic methods.