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Waves topology in geophysical flows

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In recent decades, concepts from topology have revolutionalised our comprehension of wave physics. It offers new insights into the robustness of unidirectional trapped waves at boundaries that separate materials with distinct topological properties. Initially developed within the realm of condensed matter physics, these ideas have since permeated all branches of physics, including geophysical fluid dynamics. Using equatorial waves as an illustrative example, we will explain how to compute these topological invariants in continuous media and propose a concrete ray-tracing interpretation of the abstract bulk-edge correspondence.

This talk is part of the Theory of Condensed Matter series.

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