Algebra and Combinatorics Seminar

Date: November 18, 2016

Time: 3:00PM - 3:50PM

Location: BLOC 628

Speaker: Nathan Mehlhop, Texas A&M University

Title: Cyclic Resultants and Approximation of Amoebas

Abstract: The amoeba of a Laurent polynomial is the projection of its corresponding hypersurface under a Log absolute value map. Amoebas have applications in various mathematical subjects. The computation and approximation of amoebas is known to be a challenging problem which has been tackled by several authors in recent years. In this presentation, I show an approximation method that was described theoretically by Purbhoo and show that its runtime can be drastically reduced by exploiting properties of iterated cyclic resultants which will be derived.