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Seminar

UC Berkeley Colloquium: You can hear the shape of a billiard table September 27, 2018 (04:10 PM PDT - 05:00 PM PDT)
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Location: UC Berkeley Math (Evans Hall 60)
Speaker(s) Moon Duchin (Tufts University)
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A great deal of fundamental mathematics has been directed at the  question of "hearing the shape of a drum," or reading geometric features of a plane domain or manifold off from its Laplace spectrum. I'll address a parallel question in symbolic dynamics:  if you have a Euclidean polygon and only know the sequences of sides struck in succession by billiard trajectories—that is, the bounce spectrum—does it determine the polygon?  Spoiler: The answer is basically yes.  This is joint work with Erlandsson, Leininger, and Sadanand.

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