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Applications of algebraic geometry in optimization

Student-Run Algebraic Geometry Seminar

Speaker: Jesus De Loera, UC Davis
Location: 2112 MSB
Start time: Thu, Oct 20 2011, 3:10PM

In this talk I will illustrate how elementary knowledge in algebraic geometry is useful to in the foundations of optimization theory. In the first application I will show how to use Hilbert's Nullstellensatz to provide optimality certificates and in the second example, I will describe how the geometry of curves is related to the efficiency of interior point methods.