Commutative Algebra

Date:  Thursday, April 11, 2013
Location:  3096 East Hall (3:00 PM to 4:00 PM)

Title:  Tropical Commutative Algebra

Abstract:   Tropical geometry studies ideals and varieties by via associating a polyhedral complex, called the tropical variety. One description of the tropical variety uses a modification of Grobner bases that takes the valuations of the coefficients into account. This variant has many of the good properties of standard Grobner bases, but can lead to much smaller Grobner bases. I will discuss how to compute these Grobner bases, which have been implemented for the p-adic valuation, and indicate what other commutative algebra information can be uncovered from the tropical approach to an ideal.


Speaker:  Diane Maclagan
Institution:  University of Warwick

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