The 2023-2024 lecture will focus on the spectral theory of negative curvature surfaces and certain discrete graphs. Topics covered will include trace formulas, dynamical zeta functions, geodesic flow resonances, quantum ergodicity... The focus will be on the back-and-forth between discrete and continuous geometry (graphs and surfaces), showing how the two points of view can mutually enrich each other.
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Lecture
Graph and surface spectra
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