Fall 2014

Generalized Mixed Volume of Polynomial Systems

Tuesday, October 14th, 2014 11:35 am12:00 pm

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Calvin Lab Auditorium

Polynomial systems naturally arise in many different contexts within mathematics, the sciences, and engineering. A central concept is discovering algorithms that will find all the isolated zeroes of a system. Systems that come from applications often have additional structure that cause a drop in the root count compared to the BKK bound. This talk will discuss a new algorithm that exploits the structure of a class of polynomial systems that have multiple common subexpressions which appear in the equations. This is joint work with B. Davis and J. Hauenstein.