The Study of Wave Interactions: Where Beautiful Mathematical Ideas Come Together

Phenomena involving wave interactions happen at different scales and media. For example, gravitational waves ripple through space-time, ocean waves move through water and quantum particles behave like wave packets. These phenomena are difficult to study in a rigorous mathematical manner, but maybe because of this challenge, mathematicians have developed interdisciplinary approaches that are powerful and beautiful.

In this lecture, Gigliola Staffilani will describe some of these approaches. She will show, for example, how the need to understand certain multilinear and periodic interactions provided the tools necessary to prove a famous conjecture in number theory and how classical tools in probability provided the framework for viable theories behind certain deterministic counterexamples.
 
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