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my name is Amy Wilkinson Im a professor of mathematics at the University of Chicago dynamical systems is the study of motion in particular the motion of spaces so for example a solar system the motion of the planets in our solar system is determined by a set of rules the rules of gravity and in dynamics we study how this motion plays out over time and dynamics right now were rapidly building a toolbox of techniques for you know you hand me a dynamical system maybe you know this dynamical system came up in your problem that arose in number theory or it came up in an applied context and you you hand me this problem and I have this huge toolbox of ideas that I can try to apply to that problem in dynamics its not so much the theorems that we prove its the way of thinking about problems thats really unique because were always thinking in terms of what happens when you set this in motion how does this come to be how did this situation this this potentially static situation it arose fr