Have you ever had difficulty factoring large degree polynomials? Come to this week's Slow Pitch, where we will discuss how adding a little randomness might help. More specifically, we will explore the concept of "central tendency" as it relates to locating the roots and critical points of certain classes of random polynomials over \mathbb{C}. Hopefully, you'll learn about some standard probability tools, and get a flavor of what I'm working on with Dr. O'Rourke. This talk is intended to be accessible to all math grad students; suggested prerequisites are a solid understanding of Calculus I including derivatives, integrals, and the knowledge that imaginary numbers exist on another plane.
Random Points on Random Polynomials
Apr. 04, 2018 5pm (Math 350)
MathClub
Agnes Beaudry (CU Boulder)
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In this talk I will describe how algebraic topologists associate algebraic objects to geometric shapes in order to study their properties using the powerful tools of algebra. I will explain how some of these tools are now being used to study large data sets. Our guest star, CU graduate student Nikki Sanderson, will explain an example that appears in her research.