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Lecture

Graph and surface spectra

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    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.

    Program

    Graph and surface spectra (1)
    Nalini Anantharaman

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    Lecture
    Graph and surface spectra
    Salle 5, Site Marcelin Berthelot
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    Curves, Surfaces and Intersection
    Hugo Parlier

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    Seminar
    Spectra in hyperbolic geometry
    Salle 5, Site Marcelin Berthelot
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    Regular graphs : Laplacian spectrum and geodesic flow correlation decay (1)
    Nalini Anantharaman

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    Lecture
    Graph and surface spectra
    Salle 5, Site Marcelin Berthelot
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    Prescribing the Spectra of Cubic Graphs
    Peter Sarnak

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    Seminar
    Spectra in hyperbolic geometry
    Salle 5, Site Marcelin Berthelot
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    Regular graphs : Laplacian spectrum and decay of geodesic flow correlations (2)
    Nalini Anantharaman

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    Lecture
    Graph and surface spectra
    Salle 5, Site Marcelin Berthelot
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    Circuit QED Lattices: From Synthetic Quantum Systems to Spectral Graph Theory
    Alicia Kollár

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    Seminar
    Spectra in hyperbolic geometry
    Salle 5, Site Marcelin Berthelot
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    Laplacian spectrum and decay of geodesic flow correlations on hyperbolic surfaces (I)
    Nalini Anantharaman

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    Lecture
    Graph and surface spectra
    Salle 5, Site Marcelin Berthelot
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    Determinants of Laplacians and Random Surfaces
    Frédéric Naud

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    Seminar
    Spectra in hyperbolic geometry
    Salle 5, Site Marcelin Berthelot
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    Laplacian spectrum and decay of geodesic flow correlations on hyperbolic surfaces (II)
    Nalini Anantharaman

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    Lecture
    Graph and surface spectra
    Salle 5, Site Marcelin Berthelot
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    Spectral projectors on hyperbolic surfaces
    Jean-Philippe Anker

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    Seminar
    Spectra in hyperbolic geometry
    Salle 5, Site Marcelin Berthelot
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    Regularity of resonant states on a compact hyperbolic surface
    Nalini Anantharaman

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    Lecture
    Graph and surface spectra
    Salle 5, Site Marcelin Berthelot
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    Poincaré Series and Convex Bodies on Flat Tori
    Nguyen Viet Dang

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    Seminar
    Spectra in hyperbolic geometry
    Salle 5, Site Marcelin Berthelot
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    Value in 0 of the Poincaré series of surfaces and graphs
    Nalini Anantharaman

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    Lecture
    Graph and surface spectra
    Salle 5, Site Marcelin Berthelot
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    Ruelle resonances for the geodesic flow on non-compact varieties
    Sébastien Gouëzel

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    Seminar
    Spectra in hyperbolic geometry
    Salle 5, Site Marcelin Berthelot
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    Optimal spectral hole for random regular graphs, after J. Friedman (I)
    Nalini Anantharaman

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    Lecture
    Graph and surface spectra
    Salle 5, Site Marcelin Berthelot
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    Low-Temperature Quantum Bounds on Curved Manifolds
    Silvia Pappalardi

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    Seminar
    Spectra in hyperbolic geometry
    Salle 5, Site Marcelin Berthelot
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    Optimal spectral hole for random regular graphs, after J. Friedman (II)
    Nalini Anantharaman

    -
    Lecture
    Graph and surface spectra
    Salle 5, Site Marcelin Berthelot
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    From the geodesic flow to the wave equation on an Anosov variety
    Frédéric Faure

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    Seminar
    Spectra in hyperbolic geometry
    Salle 5, Site Marcelin Berthelot
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    See also

    Seminar related to the lecture: Spectra in hyperbolic geometry
    Nalini Anantharaman, chair Spectral Geometry