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.

Category

Lectures, Seminars

Time

Location

Join Zoom Meeting https://us02web.zoom.us/j/84803848439?pwd=WnM1ZXQzNWk2SE9OSERQRDB4dEkrUT09 Meeting ID: 848 0384 8439 Passcode: 392967 One tap mobile +13017158592,,84803848439#,,,,,,0#,,392967# US (Germantown) +13126266799,,84803848439#,,,,,,0#,,392967#

Contact

Ellen Lynch