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Algebraic Optimization

Program in Applied Mathematics Colloquium

Algebraic Optimization
Series: Program in Applied Mathematics Colloquium
Location: ONLINE
Presenter: Daniel Bienstock, Industrial Engineering and Operations Research, Columbia University

Abstract: Algebraic Optimization problems, or, as they are known today, Polynomial Optimization problems, constitute an old research topic that was always recognized as extremely difficult.  It spans many areas of mathematics, both computational and theoretical: numerical linear algebra, number theory and algebra, theory of algorithms, and more.   Recently, this topic has taken a modern context in (great) part because of applications in engineering and science, in particular in power grid operations.  It is impossible to completely review the topic in on hour, however in this talk we will describe a number of results, techniques and challenges.

 

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Daniel Bienstock