Mathematics Colloquium - "Random values of polynomials and random walks on groups "
Speaker : Brad Rodgers , Queen's University
Brad is interested in questions in analysis, probability, and number theory, with a particular focus on problems at the interface of analytic number theory and random matrix theory. He finished his PhD at UCLA under Terry Tao.
Abstract: Littlewood polynomials are polynomials with all coefficients +1 or -1. It is natural to ask what sort of functions can be approximated by these polynomials, with motivations coming from analysis, number theory, and even signal processing. I will explain some of background and recent work around these problems and discuss in particular the special sequence of Rudin-Shapiro polynomials. I hope to explain how some old conjectures of Saffari and Montgomery were resolved by exploiting a surprising connection to random walks on groups.
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Ellen LynchMathematics Colloquium - "Random values of polynomials and random walks on groups "